Bunuel wrote:
If 600 men dig a 5.5 m wide, 4 m deep and 405 m long canal in half an hour, then how long a canal will 2500 men working for 6 hrs, dig if it is 10 m wide and 8 m deep?
A. 6452 m
B. 5568 3/4 m
C. 4082 m
D. 2694 1/3 m
E. 2604 m
Total volume dug by 600 men in 30 minutes = 5.5 x 4 x 405 cubic m
Total volume dug by 600 men in 1 hour = 2 x 5.5 x 4 x 405 cubic m
Total volume dug by 600 men in 6 hour = 6 x 2 x 5.5 x 4 x 405 cubic m
Total volume dug by 100 men in 6 hour = 2 x 5.5 x 4 x 405 cubic m
Total volume dug by 2500 men in 6 hour = 25 x 2 x 5.5 x 4 x 405 cubic m
Given that 2500 men dig in 6 hours = 10 x 8 x Length cubic m
=> 10 x 8 x Length = 25 x 2 x 5.5 x 4 x 405
=> Length = 25 x 5.5 x 405 / 10 = 5 x 55 x 405 / 20
=> Length = 5568.75 m
Option B