The ratio of time taken in completing a work by a man and woman is 2 : 3. The man and the woman can complete the work together in 24 days. In how many days can the woman complete the work alone ?
Answer & explanation
Correct answer: option 3
Efficiency ∝ \(\frac{1}{time}\)
Man : Woman
Time 2 : 3
Efficiency 3 : 2 ⇒ total = 5
Total work = efficiency x no. of days
= 5 x 24 = 120
Time taken by woman alone = \(\frac{Total\; work}{efficiency}\)
= \(\frac{120}{2}\) = 60