Question

7. A cistern can be filled by one tap in 4 hours and by another tap in 6 hours. How long will it take to fill the cistern, if
both taps are kept open?

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Answer 1

Answer:

2 hours

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Answer 2

Answer:

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Step-by-step explanation:

If both taps are opened together, the cistern will be filled in hours

Solution:

Given that,

A cistern can be filled by one tap in 8 hours

In, 1 hour, the tap fills 1/8 of the cistern

A cistern can be filled by another tap in 4 hours

In, 1 hour, the tap fills 1/4 of cistern

Therefore, together they can fill tank in:

1/8+1/4

=1*4/8*4+1*8/4*8

=4+8/32

=12/32=3/8

So they filled 3/8 of the cistern in 1 hour

So, They both filled whole cistern in 8/3 hours

Thus, if both taps are opened together, the cistern will be filled in 2 hours