40 men can complete a work in 15 days. They started working, and after 5 days 10 more men joined them. In how many days will the total work be completed ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 13.
Total work = Number of men × Number
40 × 15 = 600 days
One - day work of one man = 1/600
One- day work of men = (1/600) × 40 = 1/15
Now, work done in 5 days = (1/15) × 5 = 1/3
Work left = 1 - 1/3 = 2/3
One- day of work of 50 men = (1/600) × 50 = 1/12
Time taken to complete the remaining work = (2/3) × (12/1) = 8 days
Total work done in (5 + 8) = 13 days.
Hence, number of days taken to complete the total work is 13 days.