Raman can do a piece of work in half the time taken by Kapil. Sunil ca : Quantitative CAT Questions

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Raman can do a piece of work in half the time taken by Kapil. Sunil ca

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Raman can do a piece of work in half the time taken by Kapil. Sunil ca [#permalink]

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06 Oct 2019, 02:50

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Difficulty:

35% (medium)

Question Stats:

33% (00:33) correct

67% (01:16) wrong

based on 9 sessions

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Raman can do a piece of work in half the time taken by Kapil. Sunil can do the same work in one-third of the time taken by Raman. All three of them work on it for 30 days after which Kapil leaves. Sunil and Raman complete the remaining work in 18 more days. How many days would it take for Raman alone to complete the total work?

(A) 52
(B) 414
(C) 138
(D) 207

Spoiler: OA

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Joined: 11 Sep 2018

Posts: 5

Re: Raman can do a piece of work in half the time taken by Kapil. Sunil ca [#permalink]

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22 Nov 2019, 13:47

Let Rahaman can do in X days
Kapil can do 2x days, Sunil can do in X/3 days.
Kapil , Rahaman and Sunil can do in 1 day = (1/X) + (1/2x) + (3/X) = (9/2x) and in 30 days 9/2x X 30 = 135/X
Sunil and Rahaman can do in 2 day = (1/X)+ (3/X) = 72/X
So, 135/X + 72/X =1
X = 107

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Re: Raman can do a piece of work in half the time taken by Kapil. Sunil ca [#permalink] 22 Nov 2019, 13:47

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Raman can do a piece of work in half the time taken by Kapil. Sunil ca

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