Traveling along a river, a man in a row boat loses his hat when he passes under a bridge. In 15 minutes, he realizes that he lost his hat, and rows his boat the other way until he is able to retrieve his hat 1 km away from the bridge. What is the speed of the river's current?

Answers

Answer 1

Answer:

The speed of the current is 33.33 meter/minute.

Step-by-step explanation:

Let the speed of the boat in still water is x km per minute and the water is r  km per minute.

The speed of the boat in downstream is (x + r) km per minute and in upstream is (x - r) km per minute.

First, the man was moving in upstream, because the hat was retrieved 1 km away from the bridge.

After losing the hat the man traveled 15 minutes upstream, hence he went 15(x - r) km far from the bridge.

After 15 minutes he was coming back to collect his hats.

Let, he has traveled downstream for t minutes to get his hat.

Hence, t(x + r) = 15r + tr +  15(x - r) or, tx = 15x or, t = 15.

Again, 15r + 15r = 1 km or, r = 1/30 km = 1000/30 =33.33 meters.

Answer 2

Answer:

  2 km/h

Step-by-step explanation:

You want to know the speed of the river's current if a man loses his hat in the river and continues to row downstream for 15 minutes before returning upstream to retrieve his hat, 1 km downstream from where he lost it.

Reference

Since the hat is moving with the current, the boat is essentially in "still water" relative to the hat. The distance rowed in 15 minutes, relative to the hat, is exactly the distance that must be rowed to retrieve the hat. That is, the return trip takes 15 minutes as well.

The man is away from his hat for 1/2 hour, in which time the current has moved it downstream 1 km. Hence the speed of the current is ...

  (1 km)/(1/2 h) = 2 km/h

The speed of the river's current is 2km/h.

__

Additional comment

Interestingly, it does not matter if the original direction is upstream or downstream, nor does it matter how fast the man is rowing (as long as his speed is not zero).


Related Questions

can someone help me please i will give brainlyest (there is two pics)

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A: The bank is located at (4, 8)

B: The lake is located at (9, 2)

C: The deli is located at (3, 3)

D: The bakery is located at (9, 6)

When finding the mean, what does the total number of values mean in a set?

Answers

Answer:

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are. So if you have five values, add them all together, then divide the result by five

find the greatest possible decimal with 2 decimal places that is equal to 7 when rounded to the nearest whole number.

Answers

Answer:

7.49

Step-by-step explanation:

When rounding, if it is below 4 you round down, but above 5 is rounded up. Also, you look to the decimal closest to the number you are rounding. So, the greatest possible number is 7.49.

7.49 is the answer to your question.

3. Create an expression that has a value greater than 6x – 4 when x =
–5/2


4. Create an expression that has a value less than 2 – 5x when x =
-3/4

Answers

Great expression dental records, 5/2 equals -3/4 and then time is the WebEx

Please will someone help. I'd greatly appreciate it! (50 points)

Answers

The answers are -6,14,-96, and 53

Answer:

Step-by-step explanation:

x-12= -6

You have to add 12 to both sides to get x by itself you add because it is negative a you need to do the opposite expression to get rid of the 12

+12     +12

x= 6

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Answers

Answer: The train travels 50 miles per hour

Step-by-step explanation:

You already figured out the slope! The explanation is that the train travels 50 miles each hour.

The Slope Intercept form of the equation would be y=50x

If you substitute x with any number you can solve to see how much hours the train traveled.

So the train travels 50 miles per hour!

I hope this is what you needed help with!

The train travels 50 miles per hour

i need to know the answer asap

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Answer: 1/12

Step-by-step explanation:

PLS ANSWER QUICKLY!!!

Answers

Answer:

I think it's 77 I'm not sure get back to me on it

77
65-(-12)=77
Kim’s score minus her sisters is 77 subtracting a positive and a negative it’s essentially adding

please i am giving brainlyest

Answers

In the left column fill 1,2,3,4 then the next column over is 2,4,6,8. The leftmost column combines it to 1,2 2,4 3,6 and 4,8. Chart those then the answer on the bottom is he makes 10 bracelets in 5 hours

Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.


Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10


Based on the table, what is the experimental probability that the card selected was a J, Q, or K?
A: one half
B: one third
C: 3 over 10
D: 3 over 13

Answers

Answer: its c i just took the flvs test

Step-by-step explanation:

The experimental probability that the card selected was a J, Q, or K is 1/3.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that  a gamer drew one card and recorded its value.

They continued this for a total of 100 draws.

Card         A   2  3  4 5 6 7 8 9 10 J Q K

Frequency 4  7  5  6 7 6 8 10 7 10 8 12 10

The total number of cards drawn is 4+7+5+6+7+6+8+10+7+10+8+12+10 = 90.

The number of cards drawn that are either a J, Q, or K is 10+8+12 = 30.

Therefore, the experimental probability of drawing a J, Q, or K is:

30/90 = 1/3

Hence,  the experimental probability that the card selected was a J, Q, or K is 1/3.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

What's the answer to a =

Answers

Answer:

a = 81

Step-by-step explanation:

109 + a = 180

a = 81

A=81 is your answer good luck !!!

PLEASE HELP(PIC)
123456789
?=picture posted

Answers

Answer: 45.

Step-by-step explanation: I'm not the greatest at math but I do believe that is the answer.

You would divide 360 by 8 so the answer is 45

helppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

28 grams

Step-by-step explanation:

.

whats the formula for simple interest?....HELP

Answers

The formula for calculating simple interest is:

Simple Interest = (Principal x Rate x Time) / 100

Where:

Principal = the initial amount of money (the "principal sum")

Rate = the interest rate (expressed as a decimal or percentage)

Time = the length of time the interest is applied (usually in years)

It's important to note that simple interest is a method where the interest is calculated only on the original principal sum, not on any accumulated interest.

The simple interest formula is

i = P*r*t

where,

i = interestP = deposit or starting amount or loan valuer = annual interest rate in decimal formt = number of years

--------------------

An example:

You borrow $500 at a simple interest rate of 2% over 3 years

P = 500r = 0.02t = 3

Use those values to compute the following:

i = P*r*t

i = 500*0.02*3

i = 30

The amount of interest only is $30; meaning the total amount to pay back is $500 + $30 = $530

what is the value of x and y

Answers

Answer:

x=127

y=180-27=53

We know this is correct as 127+53=180 which is a straight line.

The answer for x and y are:

PLEASE HELP ME

Which expression correctly calculates the perimeter of the shape below?

A. 400
B. 100 + 100pi
C. 200 + 50pi
D. 200 + 100pi

Answers

don't know

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200+50pi i would say because all the squares = to 50 so that means it’s 150 then the things on top and bottom are both 100 because if half the squares where cut off both sides so that 25 and in the middle it’s a square so it’s 50 so that’s equal to 200+50pi

pls help me with dis bro its aleks

Answers

Answer: 8

Work: if you were to write it out like the picture, you would get 8

Draw a tape diagram to represent the question: What fraction of 2 1/2 is 4/5?

Answers

Answer: The left side 2.5 does not equal to the right side 0.8, which means that the given statement is false. False

Step-by-step explanation:

pls it is aleks and due tommorow

Answers

Answer:

B, C, and E

Step-by-step explanation:

A. A constant term is defined as a term without a variable, so this answer is wrong

B. 6 and 1 are both like terms, so B is correct

C. A coefficient is defined as a number multiplied by the variable, C is correct.

D. There are two terms, not 3

E. 8 is being multiplied so it is a factor, E is correct

F. 3 has been proven to be correct so F is wrong.

helpppppppppppppppppppppppppppp

Answers

Answer:

conflict and frequent change

Conflict and frequent change since world wars happened and after years it had come to peace

HELP I WILL REWARD BRANLIEST
You roll 2 dice. How likely is it that you roll a 2 and a 5?
Impossible
Unlikely
Equally Likely
Likely
Certain

Answers

Answer:

It is likely that you roll a 2 and a 5. There are 36 possible combinations when rolling two dice, and one of those combinations is a 2 and a 5. Therefore, the probability of rolling a 2 and a 5 is 1 in 36, which is considered likely.

The answer is unlikely

Explanation: If you have two dice and roll each one once, both dice has 1 in a 6 chance of rolling a 2 and a 5. One dice has to roll a 2 and the other dice has to roll a 5. The odds of them rolling a 2 and a 5 are highly unlikely, but not impossible.

please someone help me with this math 12.02

Answers

X coordinate always first then Y in ordering pair and while graphing X is horizontal line Y is vertical line

Solve this for me, please

Answers

Answer:

the answer should be B

Step-by-step explanation:

using advanced methods of taking tests and doing multiple choice I've come to realization the answer is never A and if the answer is a then you are wrong. the teachers always think that you're going to guess C so the answer will never actually be C. the last answer is D and the teacher will never make the answer D because who actually uses D. therefore using this advanced process of elimination we have cut the terms that answer should be and most definitely will be totally 100% be B. Trust

The answer is : d (2,6,18,54,162)

the geometric sequence formula : a+ ar^1 +ar^2+ar^3+...........

where r= common ratio

the sequence is : 2,6,18,54,162

  r = An/An-1         ( as per the formula)

  r = 162/54 = 3

  r = 54/18 = 3

lly common ratio =3

in the given options the only option d satisfies all  the conditions  of the geometric sequence

verification :

a= 2

ar^1 = 2*3 = 6

ar^2 = 2*9 =18

ar^3 = 2*27 = 54

ar^4 = 2*81 = 162

hence verified   the sequence  is 2,6,18,54,162

 

The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.

Answers

Answer:

C

Step-by-step explanation:

most of data is around 52

Answer:Most of that data is around 52.

Step-by-step explanation: well i agree with the first answer but sorry if im wrong.

Mr. Martinez rented a car for one day. the charge was $36, plus $0.18 per mile. if the total cost of the rental was $75, how many did he drive?

Answers

Answer:

Mr. Martinez drove 216.66 miles.

Step-by-step explanation:

75-36=39
39/0.18=216.66

Answer:

Explanation: The first thing to do is 75-36 which equals 39. Then do 39/.18 which is 216.6, but rounds up to 217, so 217 miles.

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Answers

The answer is the second one

Which of the following equations represents a linear function?

A: x = 5
B: y equals negative one fourth times x plus 5
C: 2x + 7 = 12

Answers

Answer:

It's C

Step-by-step explanation:

x = 5 X

y = -1/4 × 5 X

2x + 7 = 12 ✓

It's C

Step-by-step explanation:

x = 5 X

y = -1/4 × 5 X

2x + 7 = 12 ✓

solve this Lil thing for me, please

Answers

Answer:

a=-2

b=3

Step-by-step explanation:

Solve the system of equations.

2a -5b = -19

3a + 5b = 9

Add the two equations together.

2a -5b = -19

3a + 5b = 9

------------------------

5a  =            -10

Divide by 5

5a/5 = -10/5

a = -2

Now we can find b

2a-5b = -19

2(-2) -5b = -19

-4 -5b = -19

Add 4 to each side

-5b = -15

Divide by -5

b = 3

a=-2

b=3

Given

2a-5b=  -19     (equation1)

3a+5b =  9       (equation2)

now add both equation 1 and equation 2

                       

                           2a-5b=-19

                           3a+5b= 9

                           ------------------

                             5a = -10          (as +5b and -5b get canceled)

           

5a = -10

a = -2

(substitute in equation 2 or in equation 1)

3(-2)+ 5b= 9

-6 +5b =9

5b = 9+6

5b = 15

b= 3

therefore

a= -2

b= 3

verification:

2(-2)-5(3) = -19

-19 = -19

hence verified.

uhhh i fell d u m b rn but like if i dont get it within at least 2 mins can somebody help

Answers

Answer:

Step-by-step explanation:

Greater or less than

<  >

0.3 is greater than 0.03

0.3 > 0.03

The 3 comes first after the decimal point in 0.3, and a 0 comes first after the decimal point in 0.03 so 0.3 is bigger.

Answer:

0.3 > 0.03

Step-by-step explanation:

I think you should watch videos on decimals to see how to do them.

You see 0.03 has two places after the decimal point while 0.3 has one place after the point. You can match them by adding a 0 to 0.3 so that it also has two places to get a clearer look.

Like this:

0.3 turns into 0.30 so now it has two places after the point like 0.03

so if there is ONLY a 0 BEFORE the point, dont think about it. so lets look at the numbers AFTER the point. We added an extra 0 after the 3 so its 30. but the other decimal is only 03, which we can look at it as just the number 3 because only 0 is in front of it and 0 equals nothing.

looking at the two numbers 30 and 3, which one is greater? 30.

Therefore, 0.3 > 0.03

what number is expressed in each of the models below? One flat represents 1 whole. One rod represents 1 tenth, and one unit represents 1 hundredth. Write the number on the line.

Answers

Answer:

The number expressed in the models below is 0.63 (six tenths and three hundredths)

Step-by-step explanation:

It is represented as follows:

One flat represents 1 whole, so there are 0 whole numbers

One rod represents 1 tenth, so there are 6 tenths (represented by 6 rods)

One unit represents 1 hundredth, so there are 3 hundredths (represented by 3 units)

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