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Question

Tick (✓) the correct answer:
A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in
(a) 24 days
(b) 27 days
(c) 36 days
(d) 48 days

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Solution

(c) 36 days

Let A take x days to complete the work. Then B takes 2x days to complete the work.A's 1 day's work=1xB's 1 day's work=12xA and B take 12 days to complete the work.Net work done by (A+B) in 1 day=112=1x+12x=32x2x=36x=18A can complete the work by himself in 18 days.B will take 36 days, i.e., twice as long as the time taken by A.

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