If 30 men can build a wall 56 meters long in 5 days, what length of a similar…
2023
If 30 men can build a wall 56 meters long in 5 days, what length of a similar wall can be built by 40 men in 3 days?
- A.
46.8 meters
- B.
45.8 meters
- C.
44.8 meters
- D.
42.8 meters
Attempted by 22 students.
Show answer & explanation
Correct answer: C
Method: use man-days since work is proportional to number of men × number of days.
Compute output per man-day: 56 ÷ (30 × 5) = 56 ÷ 150 = 0.3733... meters per man-day.
Total man-days for 40 men in 3 days = 40 × 3 = 120 man-days.
Length built = 120 × 0.3733... = 44.8 meters.
Answer: 44.8 meters