Time and Work Practice Test 4 with solutions

Question : 1 of 40

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A can finish a work in 24 days, B in 9 days and C in 12 days. B and C started the work but are forced to leave after 3 days. The remaining work was done by A in

$10 1/2$ days
10 days
6 days
5 days

Validate

Solution:

(B + C)'s 3 days' work =

3(1/{19}+1/{12})

3× 7/{36}

7/{12}

Remaining part of work = 1 –

7/{12}

5/{12}

, which will be done by A.
A's 1 day's work =

1/{24}

Time taken by A to complete the remaining work =

{5/{12}}/{1/{24}}

5/{12} × 24

= 10 days.

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