Pipe & Work Question Answers

Work and Time - Quant/Math - CAT 2008

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)

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Solution:


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

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

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

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