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Work and Time - Quant/Math - CAT 2009

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Question 4 the day: April 15, 2003

The question for the day is from the topic of Work and Time.
A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days)

(1) 1 (2) 3
(3) 5 (4) 4
Correct Answer - (4)
Solution:


If A, B and C work together for a day then they will finish (1/5 + 1/10 + 1/15)th work = 11/30th work.

Therefore working together for two days they will finish 2 * 11/30 = 11/15th work.

C alone does remain (11/15 – 1) 4/15th work.

But C finishes 1/15th work in one day. Therefore C will finish 4/15th work in 4 days.




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