Question

A type of swimming pool holds 100 gallons of water. One hose can fill the pool in 12 hours while another takes only 10 hours. How long will it take for the pool to be filled if both hoses are used?

Answer 1

Do you have an idea?

Answer 2

The choices are 3.5 hours, 5.5 hours, 10 hours, or 7 hours.

Answer 3

Can you find the filling rate in an hour and same for draining?

Answer 4

Do you know what to do? Rythem

Answer 5

If it takes 12 hours to fill 100 l, then how would you find the rate per one hour?

Answer 6

I don't know.

Answer 7

Filling rate would be:
100 l / 12 hours = ... l/hr, can you find it?

Answer 8

yah

Answer 9

Can you find the rates for both hoses?

Answer 10

For the second hose you need to divide 100 l by 10 hr

Answer 11

Are you there?

Answer 12

Yah I'm here

Answer 13

Can you do those divisions and add up the results?

Answer 14

Complete the first division:
100/12 = a
Then second division:
100/10 = b
Then add up:
a + b = c
Once you complete it I'll give you the last step

Answer 15

100/10= 10
100/12=8.33
10+8.33=18.33

Answer 16

Good, this is the rate of filling with both of the hoses.
So you have the rate 18.33 l/hr and need to fill the volume of 100 liters.
Can you find the time needed for this?

Answer 17

Use the formula:
Time*Rate = Volume
You have rate and volume given and you need to find the time.

Answer 18

Time * 18.33 = 100
Find the value of time

Answer 19

100=18.33*x=5.45

Answer 20

Correct, so the choice is...

Answer 21

5.5

Answer 22

Congrats with correct answer!

Answer 23

Thank you so much. I really appreciate it.

Answer 24

You are welcome!