Question : A can do as much work in 4 days as B can do in 5 days and B can do as much work in 6 days as C in 7 days. In what time will C complete a piece of work that A can do in a week?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
A's 4-day work = B's 5-day work
The ratio time is taken by A and B = 4 : 5
B's 6-day work = C's 7-day work
The ratio of time taken by B and C = 6 : 7
Combining the two ratios, we get:
The ratio of time taken by A, B and C,
A : B : C = 4 × 6 : 5 × 6 : 7 × 5 = 24 : 30 : 35
The ratio efficiency of A : B : C =
Let one day's work of A, B, and C be 35, 28 and 24 units.
7 days work of A =
245 units completed by C =
Hence, the answer is
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