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A and B together can complete a work in 12 days and A, B and C together can complete the same work in 6 days. The efficiency of A is twice the efficie
Question



A and B together can complete a work in 12 days and A, B and C together can complete the same work in 6 days. The efficiency of A is twice the efficiency of B and C alone can complete the task in R+ 8 days. Find the time taken by A alone to the complete the work.

A.

R+14

B.

R+12

C.

R+16

D.

R

E.

2R

Correct option is A


Total work = 12 units
Efficiency of A+B = 12/12 = 1 unit
Efficiency of A = 2/3 units
Efficiency of B = 1/3 units
Efficiency of A+B+C = 12/6 = 2 units
Efficiency of C = 1unit
Time taken by C = 12
R + 8 = 12
R = 4

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