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?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e .
Given:
A is twice as good a workman as B and together they finish a work in 13 days.
Concept Used:
Efficiency = 1/Time
Calculation:
The efficiency ratio of A and B is 2 : 1
The time ratio of A and B is 1 : 2
Let, A take time x days and B take time 2x days to complete the work alone
In 1 day A can do 1/x part of the work
In 1 day B can do 1/2x part of the work
Together in 1 day, they can do 1/13 part of the work
(1/x) + (1/2x) = 1/13
⇒ 3/2x = 1/13
⇒ x = 39/2 =
Thus, A can finish the work in days