Exams › SSC CGL (Prelims) › General

The efficiencies of A, B and C are in the ratio 2 : 3 : 5. A alone finishes the work in 40 days. All three work together for 5 days, after which C leaves. In how many days will A and B finish the remaining work?

1. 12 days
2. 10 days
3. 8 days
4. 6 days

Correct answer: 6 days

Solution

Let A, B, C do 2, 3, 5 units/day. A finishing in 40 days means total work = 2 x 40 = 80 units. In 5 days together they do 10 x 5 = 50 units, leaving 30. A and B together do 5 units/day, so they need 30/5 = 6 days.

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