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P does half as much work as Q. R does half as much work as P and Q together. If R alone can finish it in 40 days, then all of them together will finis
Question

P does half as much work as Q. R does half as much work as P and Q together. If R alone can finish it in 40 days, then all of them together will finish the work in how many days?

A.

15

B.

30

C.

20

D.

40/3

Correct option is D

Solution:

Let efficiency of Q be 2 unit/da
=> Efficiency of P = 2/2 = 1 unit unit/day
=> Efficiency of R = (2 + 1)/2 = 1.5 unit/day
Total work = 1.5 × 40 = 60 units
∴ P, Q and R together can complete the whole work in = 60/(2 + 1 + 1.5) = 60/4.5 = 40/3 days


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