-
15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days. How many days will 10 men and 10 boys together take to complete the same work ?
-
- 10 days
- 8 days
- 12 days
- 9 days
Correct Option: A
∵ In 10 days a work is complete by 15 men
∴ In 1 day a work is complete by = 15 x 10 = 150 men
∵ In 5 days the work is complete by = 20 boys
∴ 1 day the work is completed = 20 x 15 = 300 boys
⇒ 150 men = 300 boys
or 1 men = 300/150 = 2 boys
10 men = 2 x 10 = 20 boys
10 men + 10 boys = 20 + 10 = 30 boys
∵ 20 boys complete the work in 15 days
∴ 30 boys complete the work in (15 x 20)/30 = 10 days
