SOLUTION: A pump can fill a swimming pool in 6 hours. Another pump can fill it in 9 hours. The first pump breaks down after working for 4.5 hours. How many hours it will take does the seco

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A pump can fill a swimming pool in 6 hours. Another pump can fill it in 9 hours. The first pump breaks down after working for 4.5 hours. How many hours it will take does the seco      Log On

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Question 1057004: A pump can fill a swimming pool in 6 hours. Another pump can fill it in 9 hours. The first pump breaks down after working for 4.5 hours.
How many hours it will take does the second pump to finish the job?

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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A pump can fill a swimming pool in 6 hours. Another pump can fill it in 9 hours. The first pump breaks down
after working for 4.5 hours. How many hours it will take does the second pump to finish the job?
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In 4.5 hours the first pump filled 4.5%2F6 = 3%2F4 of the pool volume.

Hence, 1%2F4 of the volume remained unfilled.

If the second pump can fill the entire pool in 9 hours,
it will fill the remaining 1%2F4 of the volume in 4 times faster.

So, it will take 9%2F4 hours = 2 1%2F4 hours = 2 hours and 15 minutes for the second pump to finish the job.