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21 Jan 2021, 06:45
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
58% (02:58) correct
42%
(03:06)
wrong
based on 163
sessions
History
Date
Time
Result
Not Attempted Yet
A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, (4/7) of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours?
(A) 80
(B) 81
(C) 82
(D) 83
(E) 84
(A) 80
(B) 81
(C) 82
(D) 83
(E) 84
24 Jan 2021, 03:10
Kudos
Bookmarks
Bunuel
After 33 days, \(\frac{4}{7}\)th of the work is completed.
117*8*33 man-hours of work are completed at the end of 33 days if we assume
each worker does 1 unit of work in an hour. Since this is \(\frac{4}{7}\)th of the total work
needed to be done(let the total work in man-hours be x)
\(\frac{4x}{7} = 117*8*33\) -> \(x = \frac{117*7*33*8}{4} = 117*7*33*2\) man-hours.
Pending work is \(117*7*33*2 - 117*8*33 = 117*33*(14-8)= 117*33*6\) man-hours
For the remaining 13 days, let m be the number of men who do the work
\(m*9*13 = 117*33*6\) -> \(m = \frac{117*33*6}{9*13} = 198\). Extra men needed for the job \(= 198 -117 = 81\)
Therefore, since 117 men were already working, 81(Option B) more men are required to finish the work.
18 May 2022, 23:53
Kudos
Bookmarks
let the total work be W need to be completed in 46 days
117 men working 33 days 8 hours completed 4/7 of W that means 3/7 of W is left.
117*33*8 = 4W/7 .........(1)
let x men added to complete the 3/7 of W in 13 days (Total 46 days ,33 already over.) working 9 hours.
(117 + x) * 13 * 9 = 3W/7 ...........(2)
dividing 1 and 2
we get x = 81
117 men working 33 days 8 hours completed 4/7 of W that means 3/7 of W is left.
117*33*8 = 4W/7 .........(1)
let x men added to complete the 3/7 of W in 13 days (Total 46 days ,33 already over.) working 9 hours.
(117 + x) * 13 * 9 = 3W/7 ...........(2)
dividing 1 and 2
we get x = 81
