Aptitude:: Time and Work

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

A. 5 days B. 6 days
C. 10 days D.


Answer: Option C

Explanation:

 

(B + C)'s 1 day's work = 1 + 1 = 7 .
9 12 36

 

Work done by B and C in 3 days = 7 x 3 = 7 .
36 12

 

Remaining work = 1 - 7 = 5 .
12 12

 

Now, 1 work is done by A in 1 day.
24

 

So, 5 work is done by A in 24 x 5 = 10 days.
12 12

 


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