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A and B can complete a task in 30 days, whereas, A, B and C can complete the same task in 21 days. In how many days can C alone complete the task?
Question

A and B can complete a task in 30 days, whereas, A, B and C can complete the same
task in 21 days. In how many days can C alone complete the task?

A.

65

B.

70

C.

72.5

D.

67.5

Correct option is B



Efficiency of C = Efficiency of (A+B+C) – Efficiency of (A+B)
⇒ 10-7 = 3 unit/day
Time taken by C to complete the work = 210/3 = 70 days

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