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15 Jan 2015, 07:29
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Difficulty:
55%
(hard)
Question Stats:
69% (02:54) correct
31%
(03:11)
wrong
based on 359
sessions
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Not Attempted Yet
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
(A) $144
(B) $90
(C) $60
(D) $54
(E) $48
Kudos for a correct solution.
(A) $144
(B) $90
(C) $60
(D) $54
(E) $48
Kudos for a correct solution.
17 Jan 2015, 10:26
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A & B together worked for 5 days
B can complete the work by himself in 15 days (1/15 of work in one day)
Thus, total work B did = 5*(1/15) = 1/3
Total wage B will get = (1/3)*720 = $240
Thus average wage: 240/5 = $48
B can complete the work by himself in 15 days (1/15 of work in one day)
Thus, total work B did = 5*(1/15) = 1/3
Total wage B will get = (1/3)*720 = $240
Thus average wage: 240/5 = $48
15 Jan 2015, 11:50
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A's one day work= 1/12 and B's one day work= 1/15.
Together, A and B will do 9/60 of work per day-> in 5 days they do 45/60 work=> 3/4 of the work. Remaining 1/4 of the work was done by C.
Now Money
Total work done by A= 5/12. Total work done by B=5/15 and total work done by C= 1/4.
5/12: 5/15: 1/4== 5:4:3.
So average of B= (4/12)*720= 240. ==> Wage per day= 240/5=48$.
Together, A and B will do 9/60 of work per day-> in 5 days they do 45/60 work=> 3/4 of the work. Remaining 1/4 of the work was done by C.
Now Money
Total work done by A= 5/12. Total work done by B=5/15 and total work done by C= 1/4.
5/12: 5/15: 1/4== 5:4:3.
So average of B= (4/12)*720= 240. ==> Wage per day= 240/5=48$.
Bunuel
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 15 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
(A) $144
(B) $90
(C) $60
(D) $54
(E) $48
Kudos for a correct solution.
(A) $144
(B) $90
(C) $60
(D) $54
(E) $48
Kudos for a correct solution.
