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A, B and C together can complete 66 2/3% of work in 2 days and A & B together can complete 30% of the work in 3 days. Find the time taken by C alo
Question


A, B and C together can complete 66 2/3% of work in 2 days and A & B together can complete 30% of the work in 3 days. Find the time taken by C alone to complete 4 2/3 of total work.

A.

20 days

B.

15 days

C.

7.5 days

D.

5 days

E.

12 days

Correct option is A


Total work completed by A, B and C = 2×3/2=3 days
Total work completed by A and B together = 100/30×3=10 days
Total work = 30 (LCM of 3 and 10)
Efficiency of C = 30/3-30/10=10-3=7 unit/ day
Required time = ( 14/3×30)/7=20 days

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