20 women and 15 men together can complete a work in 6 days. It takes 150 days for a single woman to complete the work. In how many days can a single man complete the work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 450.
Let the efficiency of one man and one woman be M and W respectively.
According to the given question,
(20W + 15M) × 6 = 150W
⇒ 20W + 15M = 25W
⇒ 15M = 5W
⇒ 1W = 3M
Now, time taken by 1 woman = 150 days
Time taken by 1 man = 3 × 150
⇒ 450 days