SOLUTION: I am having trouble with this rate problem:
One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool if the
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-> SOLUTION: I am having trouble with this rate problem:
One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool if the
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Question 1114844: I am having trouble with this rate problem:
One pipe can fill a pool in 10 hours. Another pipe can fill the pool in 30 hours. How long would it take them to fill the pool if they were working together?
You can put this solution on YOUR website! One pipe can fill a pool in 10 hours.
Another pipe can fill the pool in 30 hours.
How long would it take them to fill the pool if they were working together?
:
Let t = time required with both pipes work together
let the completed job = 1 (a full pool)
:
Each will do a fraction of the job, the two fractions add up to 1
: +| = 1
multiply equation by 30, get rid of the denominators
30* + 30* = 30(1)
cancel
3t + t = 30
4t = 30
t =
t = 7.5 hrs working together
First pipe fills of the tank volume per hour.
Second pipe fills of the tank volume per hour.
Working together, they fill = = = of the tank volume per hour.
It means that they fill the tank in = 7.5 hours = 7 hours and 30 minutes working together.
Solved.
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It is a typical joint work problem.
