Question : A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a task in 12 days, in how many days can B finish the same task?
Option 1: 8
Option 2: 10
Option 3: 16
Option 4: 12
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Correct Answer: 16
Solution :
The ratio of the rates of work of A : B = 2 : 1
Work = efficiency × time
Let the time B takes be $x$ days
A's work = 2 × 12 × 8
B's work = 1 × 12 × $x$
The total work is the same.
Thus, A's work = B's work
⇒ 2 × 12 × 8 = 1 × 12 × $x$
⇒ $x$ = 16 days
Hence, the correct answer is 16.
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