Time and Work Practice Test 4 with solutions

Question : 39 of 40

Marks: +1, -0

A, B, and C started working together on a project that A alone can finish in 10 days, B in 12 days and C in 15 days. B and C left after 2 days of starting the project. Find the time taken by A to finish the remaining work.

5 days
6 days
$5 1/2$ days
$6 1/3$ days
None of these

Validate

Solution:

Work done by A, B and C in 2 days
=

2[1/{10}+1/{12}+1/{15}]

2 × {15}/{60}

1/2

Work left =

1 - 1/2

1/2

A can complete the work in 10 days.
So,

1/2

of work will be done by A in 5 days.
So, A will take 5 days to finish the remaining work.

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