16 men can complete a work in 12 days. 12 women can complete the same work in 32 days. 16 men and 16 women together worked for 4 days, after which the women dropped out and 16 more joined. In how many days will be the men be able to complete the remaining work?
16 men can complete a work in 12 days. 12 women can complete the same work in 32 days. 16 men and 16 women together worked for 4 days, after which the women dropped out and 16 more joined. In how many days will be the men be able to complete the remaining work? Correct Answer 3 days
Given:
Number of work completed by 16 men = 12 days
Number of work completed by 12 women = 32 days
Number of work completed by 16 men and 16 women together = 4 days
Formula used:
Work = Efficiency × Time
Calculation:
According to the question
⇒ 16m × 12 = 12w × 32
⇒ m = 2w
Total work = 16m × 12 = (16 × 1 × 12)
⇒ 192
Work done by 16 men and 16 women = 4 days
⇒ 16 women = 8 men
Thus, the number of men complete the work in 4 days =
⇒ (24 × 4)
⇒ 96
Work remaining = (192 – 96)
⇒ 96
Total men to complete the remaining work =
⇒ (96/32) days
⇒ 3 days
∴ Required time to complete the remaining work by men is 3 days
