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26 May 2022, 08:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (02:18) correct
19%
(02:55)
wrong
based on 150
sessions
History
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Time
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Not Attempted Yet
A and B undertake to do a piece of work for 450$. A can do it in 20 days and B can do it in 40 days. With the help of C, they finish it in 8 days. How much should C be paid for his contribution?
A. 180$
B. 120$
C. 60$
D. 50$
E. 40$
A. 180$
B. 120$
C. 60$
D. 50$
E. 40$
26 May 2022, 08:36
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Work/day by A= 1/20
Work/day by A= 1/40
Work done by C= 1/8- (1/20 + 1/40)
= 1/20
Ratio of times taken when A,B,C complete the job alone : 20:40:20
Ratio of work done: 2:1:2
5x= 450
x= 90
Share of C= 2x= 180$
Ans option A
Posted from my mobile device
Work/day by A= 1/40
Work done by C= 1/8- (1/20 + 1/40)
= 1/20
Ratio of times taken when A,B,C complete the job alone : 20:40:20
Ratio of work done: 2:1:2
5x= 450
x= 90
Share of C= 2x= 180$
Ans option A
Posted from my mobile device
26 May 2022, 08:48
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Bunuel
I don't like working with fractional jobs. On rates questions like this, let's just treat it as a Hidden Plug In (there's no variable in the question, but there sure is some piece of information we could just make up!). Let's make the job solving 40 GMAT questions.
A can solve 40 questions in 20 days, so 2 questions per day.
B can solve 40 questions in 40 days, so 1 question per day.
A and B together can solve 3 questions per day.
A, B, and C together can solve 40 questions is 8 days, so 5 questions per day. 3 of those 5 are done by A and B, so C can do solve 2 questions per day.
C solves 2 out of every 5 questions so is entitled to 2/5 of the $450. That's $180.
Answer choice A.
ThatDudeKnowsHiddenPlugIn
ThatDudeKnowsRates
