Question

in) Two taps A and B can together fill a
swimming pool in 15 days. Taps A and B
are kept open for 12 days and then tap B is
closed. It takes another 8 days for the pool
to be filled. How many days does each tap
require to fill the pool?
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Answer 1

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Asked on December 20, 2019 by

Kanchan Sangolli

Two taps A and B can together fill a swimming pool in 15 days. Taps A and B are kept open for 12 days and then tap B is closed. It takes another 8 days for the pool to be filled. How many days goes each tap require to fill the pool?

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ANSWER

Let A and B be the rate of two taps

According to the question

15A+15B=1job..........(i)

20A+12B=1job.........(ii)

Multiply (i) by 12 and (ii) by 15

180A+180B=12...........(iii)

300A+180B=15.........(iv)

Subtract (iii) from (iv) we get

120A=3

A=

40

1

job/day

A would take 40 days to fill the pool alone

20A+12B=1

2

1

+12B=1

12B=

2

1

B=

24

1

job/day

B would take 24 days to fill the pool alone

Step-by-step explanation:

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