Time and Work Practice Test 1 with solutions

Question : 37 of 40

Marks: +1, -0

A and B can do a work in 3 days. B and C can do the same work in 4 days and C and A can do it in 12 days. Find the time taken by them if they all work together.

$4 1/2$ days
3 days
$3 1/3$ days
4 days
5 days

Validate

Solution:

Work done by A and B in one day =

1/3

... (1)
Work done by B and C in one day =

1/4

... (2)
Work done by C and A in one day =

1/{12}

... (3)
Adding (1), (2) and (3) we get,
(A + B) + (B + C + (C + A) =

1/3 + 1/4 + 1/{12}

2 (A + B + C) =

1/3 + 1/4 + 1/{12}

A + B + C =

1/2 × 8/{12}

1/3

So, together they all finish the work in 3 days.

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