Question : A is twice as good a workman as B and together they complete a task in 13 days. In how many days will B alone complete the task?
Option 1: 39
Option 2: 42
Option 3: 21
Option 4: 18.5

Question

Question : A is twice as good a workman as B, and together they finish a piece of work in 13 days. In how many days will A alone finish the work?
Option 1: $41$
Option 2: $39$
Option 3: $19 \frac{1}{2}$
Option 4: $9 \frac{1}{4}$

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Answer 1

Correct Answer: 39

Solution : Let B's efficiency be $x$ .
A's efficiency = $2 x$
Work done by A and B together in 13 days = 1
Work done by A and B together in 1 day = $\frac{1}{13}$
Work done by A in 1 day + Work done by B in 1 day = $\frac{1}{13}$
⇒ $2 x + x = \frac{1}{13}$
⇒ $3 x = \frac{1}{13}$
⇒ $x = \frac{1}{39}$
Work done by B in 1 day $= \frac{1}{39}$
Therefore, the work is completed by B in 39 days
Hence, the correct answer is 39.

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Question : A is twice as good a workman as B and together they complete a task in 13 days. In how many days will B alone complete the task?Option 1: 39Option 2: 42Option 3: 21Option 4: 18.5

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Question : A is twice as good a workman as B and together they complete a task in 13 days. In how many days will B alone complete the task?
Option 1: 39
Option 2: 42
Option 3: 21
Option 4: 18.5