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26 Apr 2022, 03:45
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
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Question Stats:
68% (03:16) correct
32%
(03:04)
wrong
based on 124
sessions
History
Date
Time
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Not Attempted Yet
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 hours, dig if it is 10 m wide and 8 m deep?
(A) 2694.33 m
(B) 4082 m
(C) 5568.75 m
(D) 6452 m
(E) 6552 m
(A) 2694.33 m
(B) 4082 m
(C) 5568.75 m
(D) 6452 m
(E) 6552 m
18 May 2022, 09:56
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Bunuel
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
18 May 2022, 12:16
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Ratios and estimating
405*((4.4*5)/80)*(6/.5)*(2500/600)) =
405*((22/80)*12*(25/6) =
405*(11/40)*50 =
400*1/4*50 = 5000
Closest answer is C
Posted from my mobile device
405*((4.4*5)/80)*(6/.5)*(2500/600)) =
405*((22/80)*12*(25/6) =
405*(11/40)*50 =
400*1/4*50 = 5000
Closest answer is C
Posted from my mobile device
03 Jul 2026, 11:57
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Let x units per hour be the rate of 1 person
So 600 * x * 1/2 = 5.5 * 4 * 405
Hence x = (2 * 5.5 * 4 * 405)/ 600 ....i
Now since the work rate is constant.
2500 men will do the same x units of work per worker per hour for 6 hours
Hence total work done by 2500 = (2 * 5.5 * 4 * 405)/ 600 * 6 ....ii | Just multiply i with 6
Now we want the length so divide ii by 10 * 8 --->
You ll get (2 * 5.5 * 4 * 405)/ (600 * 6 * 10 * 8)
5.5 * 405 * 5 /2
~ = 5500 whcich is close to option C
So 600 * x * 1/2 = 5.5 * 4 * 405
Hence x = (2 * 5.5 * 4 * 405)/ 600 ....i
Now since the work rate is constant.
2500 men will do the same x units of work per worker per hour for 6 hours
Hence total work done by 2500 = (2 * 5.5 * 4 * 405)/ 600 * 6 ....ii | Just multiply i with 6
Now we want the length so divide ii by 10 * 8 --->
You ll get (2 * 5.5 * 4 * 405)/ (600 * 6 * 10 * 8)
5.5 * 405 * 5 /2
~ = 5500 whcich is close to option C
