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Previous Year Questions

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Question :

P, Q and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q works on first day, P and R works on second day and P and Q works on third day and so on till the work is completed. In how many days the work will be completed?

1. 13/2

2. 9/2

3. 7/2

4. 5/2

Correct Answer : 3
Solution :

Work done by P in a day = 1/5

Work done by Q in a day = 1/10

Work done by R in a day = 1/15

P + Q = 1/5 + 1/10 = 3/10

P + R = 1/5 + 1/15 = 4/15

Work done in three days = 3/10 + 4/15 + 3/10 = 26/30

Remaining work = 1- 26/30 = 4/30 = 2/15

Time taken by (P+R) to do the remaining work = (2/15) / (4/15) = ½ day

Total days = 3 + ½ = 7/2 days

SSC CGL Tier II Previous Year Papers

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