A can do a piece of work in 24 days B is 20 more efficient than A If C can do the work in 10 more da...........

Quant (SSC) Time and work

A can do a piece of work in 24 days, B is 20% more efficient than A. If C can do the work in 10 more days than B, In how many days can A and C do the whole work together?

25 days

35 /2 days

40 /3 days

18 days

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Explanation:

Ratio of the efficiency of A and B = 100 : 120 = 5 : 6
Ratio between the time taken by A and B = 1/5 : 1/6 = 6 : 5
If A can do the work in 24 days then B can do the same work in
24 /6 x 5 = 20 days
C can do the same work in 20 + 10 = 30 days.
A and C together can do the same work = 1(1/24 + 1/30)
= 1 /5 + 4/120 = 1 /9/120 = 40/3 days