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A is twice as efficient as B. Working together they complete a work in 8 days. In how many days can A alone complete the work?

Competition practiceTime & Work / Pipes

A12
B16
C10
D24

Step-by-Step Solution

Let B'

s

rate =

x

, A'

s = 2 x

. Together

3 x = 1/8

, so

x = 1/24

and A'

s

rate = 2/24 = 1/12; A alone takes 12 days.

Answer: A) 12

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