If 36 men can dig a hole 200 meter long, 3 meter wide and 2 meter deep in 6 days working 10 hours a day, then in how many days, working 8 hours a day will 10 men dig a hole 100 m long, 4 meter wide and 3 meter deep?
-
35 days
-
24 days
-
30 days
-
27 days
-
None of these
D
Correct answer
Explanation
Work = volume = L×W×D. First hole: 200×3×2=1200 cubic meters by 36 men in 6 days at 10 hrs/day. Total man-hours = 36×6×10=2160. Rate = 1200/2160 = 5/9 m³ per man-hour. Second hole: 100×4×3=1200 m³. With 10 men at 8 hrs/day: days = 1200÷(10×8×5/9)=1200÷(400/9)=1200×9/400=27.