Time and Work Practice Test 4 with solutions

Question : 7 of 40

Marks: +1, -0

A man, a woman and a boy can do some work in 2 days if they all work together as a team. A man and a woman alone can do the same work in 4 days and 6 days respectively. Find the time taken by a boy alone to do the same work.

10 days
11 days
12 days
$11 1/9$ days
$9 1/{11}$ days

Validate

Solution:

Work done by a man, a woman and a boy in one day =

1/2

Work done by a man in one day =

1/4

Work done by a woman in one day =

1/6

So, work done by a boy in one day =

1/2 - 1/4 - 1/6

{6-3-2}/{12}

1/{12}

So, boy alone can do the same work in 12 days.

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