30 women working 5 hours a day can complete a work in 18 days. In how many days will 21 women working 8 hours a day complete the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16days.
Work = Women × Hours × Days
For the first case:
Work = 30 × 5 × 18 = 2700 units
Let required days = x in the second case:
Work = 21 × 8 × x = 2700
⇒ 168x = 2700
⇒ x = 2700 ÷ 168 = 16days.