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Working together, two pumps can drain a certain pool in

6

hours. If it takes the older pump

14

hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?

Verified Answer :

wolf1728

New pump = (Old Pump Total) / (Old Pump - Total)
New pump = (14 6) / (14 -6)
New pump = (84) / (8)
New Pump = 10.5 hours

Answer:

10.5 hours.

Step-by-step explanation:

Given,

Two pumps can drain a certain pool in 6 hours.

So, the combined one hour work of the pumps = \(\frac{1}{6}\),

Also,older pump  takes 14  hours to drain the pool by itself,

The one hour work of older pump = \(\frac{1}{14}\),

Thus, the one hour work of newer pump = Combined one hour work - one hour work of older pump,

\(=\frac{1}{6}-\frac{1}{14}\)

\(=\frac{7-3}{42}\)

\(=\frac{4}{42}\)

Hence, the total time taken by newer pump = \(\frac{1}{4/42}=\frac{42}{4}=10.5\text{ hours}\)

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