Time and Work Practice Test 1 with solutions

Question : 10 of 40

Marks: +1, -0

A cistern is filled by a tap in

3 1/2

hours. Due to a leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full, how long will it take the leak to empty it?

28 hours
29 hours
$31 1/3$ hours
38 hours

Validate

Solution:

In 1 hour

2/7

cistern is filled by the tap.
Hence, in

1/2

hour

2/{14}

1/7

cistern is filled by the tap.
So,

1/7

cistern is emptied by the leakage in 4 hours.
So, 1 cistern will be emptied by the leakage in 28 hours.

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