A can do as much work in 4 days as B can do in 5 and B can do as much work in 6 days as C in 7 In wh...........

Quantitative Aptitude (CGL) Time and work

A can do as much work in 4 days as B can do in 5, and B can do as much work in 6 days as C in 7. In what time will C do a piece of work which A can do in a week ?

10 5/24 days

4 4/5 days

6 8/15 days

12 6/19 days

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Explanation:

4A = 5B A/B = 5/4
6B = 7C B/C = 7/6
A B B C
5 4 7 6
A = 5x7 = 35 days
B = 4x7 = 28 days
C = 6x4 = 24 days
Let the total work be 840 unit (LCM)
One day work -
A = 24 unit
B = 30 unit
C = 35 unit
Work done by A in a week = 7 x 24 = 168 unit
C can do this work in = 168/35 = 4.8 days = 4 4/5 days