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06 Oct 2019, 03:50
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Difficulty:
65%
(hard)
Question Stats:
45% (01:03) correct
55%
(01:42)
wrong
based on 11
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
(A) 52
(B) 414
(C) 138
(D) 207
22 Nov 2019, 14:47
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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
Posted from my mobile device
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
Posted from my mobile device
