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Darina [25.2K]
3 years ago
8

working together, two pumps can drain a certain pool in 4 hours. if it takes the older pump 9 hours to drain the pool by itself,

how long will it take the newer pump to drain the pool on its own?
Mathematics
2 answers:
Kryger [21]3 years ago
5 0
5 hours because u subtract 9 from 4 u get 5 hours
slava [35]3 years ago
3 0

Answer: Number of hours newer pump needed to drain is given by

7\dfrac{1}{5}\ hours

Step-by-step explanation:

Since we have given that

Number of hours taken by two pumps = 4 hours

Work done by two pumps = \dfrac{1}{4}

Number of hours taken by older pump = 9 hours

Work done by older pump = \dfrac{1}{9}

According to question, work done by new pump would be

\dfrac{1}{4}-\dfrac{1}{9}\\\\=\dfrac{9-4}{36}\\\\=\dfrac{5}{36}

So, Number of hours newer pump needed to drain is given by

\dfrac{36}{5}=7\dfrac{1}{5}\ hours

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