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25 Jan 2017, 13:15
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
77% (02:56) correct
23%
(03:11)
wrong
based on 304
sessions
History
Date
Time
Result
Not Attempted Yet
A contractor undertakes to dig a canal 12km long in 350 days and employs 45 men.After 200 days he finds that only 4.5km of canal has been completed.Find the number of extra men he must employ to finish the work in time
A. 53
B. 55
C. 43
D. 59
E. 48
Source: quicker maths
A. 53
B. 55
C. 43
D. 59
E. 48
Source: quicker maths
27 Jan 2017, 05:06
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Hi Rohit8865,
This is a group work question. Whenever you encounter a group work question, you can make use of the following universal formula for group work.
(M1D1H1)/W1 = (M2D2H2)/W2
Where M1 and M2 are men
D1 and D2 are days
H1 and H2 are hours and
W1 and W2 are the work done
Here since we have 3 quantities M, D and W, we use the formula (M1D1)/W1 = (M2D2)/W2
Since 45 men take 200 days to dig 4.5 km of a canal, we need to find how many more men are required to complete the remaining 7.5 km of the canal in 150 days.
M1 = 45
D1 = 200
W1 = 4.5
M2 = ?
D2 = 150
W2 = 7.5
Substituting in (M1D1)/W1 = (M2D2)/W2 we get
(45 * 200)/4.5 = (M2 * 150)/7.5
Simplifying we get M2 = 100.
Since we need to find how many more men are required, the answer will be 100 - 45 = 55.
Hope this helps!
CrackVerbal Academics Team
This is a group work question. Whenever you encounter a group work question, you can make use of the following universal formula for group work.
(M1D1H1)/W1 = (M2D2H2)/W2
Where M1 and M2 are men
D1 and D2 are days
H1 and H2 are hours and
W1 and W2 are the work done
Here since we have 3 quantities M, D and W, we use the formula (M1D1)/W1 = (M2D2)/W2
Since 45 men take 200 days to dig 4.5 km of a canal, we need to find how many more men are required to complete the remaining 7.5 km of the canal in 150 days.
M1 = 45
D1 = 200
W1 = 4.5
M2 = ?
D2 = 150
W2 = 7.5
Substituting in (M1D1)/W1 = (M2D2)/W2 we get
(45 * 200)/4.5 = (M2 * 150)/7.5
Simplifying we get M2 = 100.
Since we need to find how many more men are required, the answer will be 100 - 45 = 55.
Hope this helps!
CrackVerbal Academics Team
General Discussion
25 Jan 2017, 13:25
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4.5 km in 200 days by 45 men
now remaining 7.5 km in 150 days by 45+x men
200*45/4.5 =(45+x)*150/7.5
on solving this we get x=55 so 55 men extra are required
Sent from my SM-N750 using GMAT Club Forum mobile app
now remaining 7.5 km in 150 days by 45+x men
200*45/4.5 =(45+x)*150/7.5
on solving this we get x=55 so 55 men extra are required
Sent from my SM-N750 using GMAT Club Forum mobile app
