40 men can complete a work in 15 days. Five days after they started working, 10 more men joined them. In how many days will the total work be completed?
- A13
- B12
- C14
- D11
Solution & Step-by-step Explanation
Let the efficiency of 1 man be 1 unit/day.
Total work = 40×15=600 units.
Work done by 40 men in the first 5 days:
Work Done=40×5=200 units
Remaining work:
Remaining Work=600−200=400 units
Now, 10 more men join, so total men = 40+10=50 men.
Time taken by 50 men to finish the remaining work:
Remaining Days=
50
400
=8 days
Total days to complete the work:
Total Days=5 days (initial)+8 days (remaining)=13 days
Total work = 40×15=600 units.
Work done by 40 men in the first 5 days:
Work Done=40×5=200 units
Remaining work:
Remaining Work=600−200=400 units
Now, 10 more men join, so total men = 40+10=50 men.
Time taken by 50 men to finish the remaining work:
Remaining Days=
50
400
=8 days
Total days to complete the work:
Total Days=5 days (initial)+8 days (remaining)=13 days