Exams › SSC CGL (Prelims) › General

C is four times as efficient a worker as D, and C can complete a work in 45 days less than D. If they work together, in how many days can they finish the work?

1. 10 days
2. 12 days
3. 15 days
4. 18 days

Correct answer: 12 days

Solution

If D takes x days, then C, being four times as efficient, takes x/4 days. Given x - x/4 = 45, so x = 60 and C takes 15 days. Together, their rate is 1/15 + 1/60 = 1/12, so they finish in 12 days.

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