(Solved) A alone can do a work in 12 days while A and B together can do that work in 7.5 days. Find the time taken by C alone to do that work if C takes 3 days more than that of B alone to do that work? (a) 33 days (b) 30 days (c) 23 days (d) 27 days (e) 28 days
Question :
A alone can do a work in 12 days while A and B together can do that work in 7.5 days. Find the time taken by C alone to do that work if C takes 3 days more than that of B alone to do that work?
(a) 33 days
(b) 30 days
(c) 23 days
(d) 27 days
(e) 28 days
Solution :
Let B alone take x days to do the work
A and B together in 1 days do
1/x = 1/7.5 - 1/12
1/x = 10/75 - 1/12
1/x = 2/15 - 1/12
1/x = 24 - 15/180
1/x = 9/180
1/x = 1/20
X = 20 days
B alone done work = 20 days
Here, c takes 3 days more than B
20+3
23 days
C alone = 23 days
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