2 men can finish a work in 6 days and 3 women can finish the same work in 4 days. In how many days will the work be finished by 1 man and 2 women, working together every day?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4.
Let the total work units be (LCM of 6, 4) be 12.
Efficiency of 1 man = 12/(2 × 6) = 1
Efficiency Of 1 woman =12/(3 × 4) = 1
1 man and 2 women will do work in 1 day = (1 × 1) + (2 × 1) = 3 units
1 man and 2 women will do whole work in = 12/3
⇒ 4 days
So, 1 man and 2 women will do whole work in 4 days.