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P can do work in 12 hr, Q in 6 hr. Together they must do double the work. Time required?
Question

P can do work in 12 hr, Q in 6 hr. Together they must do double the work. Time required?

A.

5 hr

B.

7 hr

C.

8 hr

D.

6 hr

Correct option is C

Given:

P = 12 hr Q = 6 hr Work required = double (2 units)
Formula:

Work rate = 1 ÷ time Time = work ÷ combined rate
Solution:

P’s rate = 1/12 Q’s rate = 1/6 = 2/12

Combined = 3/12 = 1/4 Time = 2 ÷ (1/4) = 8 hr

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