Time and Work Practice Test 4 with solutions

Question : 34 of 40

Marks: +1, -0

A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in:

15 days
12 days
10 days
8 days

Validate

Solution:

(A + B)'s 2 days' work =

2(1/{12}+1/{10})

= 2 ×

5/{30}

1/3

Remaining part of work = 1 –

1/3

2/3

, which will be done by A alone.
Hence, time taken by A to complete the remaining work =

{2/3}/{1/{15}}

2/3 × 15

= 10 days.
Therefore, total time taken to complete the whole work = 2 + 10 = 12 days.

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