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23 Apr 2019, 10:49
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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:
75%
(hard)
Question Stats:
66% (03:01) correct
34%
(03:09)
wrong
based on 288
sessions
History
Date
Time
Result
Not Attempted Yet
A contract must be completed in 56 days and 104 men are recruited to work, each working 8 hours a day. After 30 days, \(\frac{2}{5}\) of the work is finished. How many additional men must be employed so that the work is completed on time?
A. 180
B. 64
C. 76
D. 96
E. 120
A. 180
B. 64
C. 76
D. 96
E. 120
24 Apr 2019, 03:45
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Since 30 days are required to complete \(\frac{2}{5}W\), 75 are needed to complete \(W\).
30 days have already passed. Hence, 75-30 = 45 days are needed to complete \(\frac{3}{5}W\). Write down the following equation:
\(104 * 8 * 45 = \frac{3}{5}W\)
We seek the additional number of people to complete the remaining work in time. Since 30 days are left, 56 - 30 = 26 days only can be utilised. We can write:
\(x * 8 * 26 = \frac{3}{5}W\)
Solving this system of linear equations we get:
\(x = \frac{104*8*45}{8*26} = 180\)
Men should be employed to finish the job on time: 180 - 104 = 76.
30 days have already passed. Hence, 75-30 = 45 days are needed to complete \(\frac{3}{5}W\). Write down the following equation:
\(104 * 8 * 45 = \frac{3}{5}W\)
We seek the additional number of people to complete the remaining work in time. Since 30 days are left, 56 - 30 = 26 days only can be utilised. We can write:
\(x * 8 * 26 = \frac{3}{5}W\)
Solving this system of linear equations we get:
\(x = \frac{104*8*45}{8*26} = 180\)
Men should be employed to finish the job on time: 180 - 104 = 76.
03 May 2019, 23:08
Kudos
Bookmarks
Unitary method is the simplest and quickest way to solve this kind of problem:
TARGET: Find out how many men are needed to finish (3/5)th of the work in the remaining 26 days.
(2/5)W is done in 30 days by 104 men.
(3/5)W is done in 30 days by (104*5*3)/(2*5)=156 men
(3/5)W is done in 26 days by (156*30)/26=180 men.
Additional men to be hired: 180-104=76 Answer: C
TARGET: Find out how many men are needed to finish (3/5)th of the work in the remaining 26 days.
(2/5)W is done in 30 days by 104 men.
(3/5)W is done in 30 days by (104*5*3)/(2*5)=156 men
(3/5)W is done in 26 days by (156*30)/26=180 men.
Additional men to be hired: 180-104=76 Answer: C
