A and B together can do a piece of work in 12 days, B and C together in 15 days, C and A together in 20 days. If A, B and C work together, then how many days will be required to do the same work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10.
Formula used:
Work done = time × efficiency
Calculations:
Total work done by A + B, B + C and C + A (LCM) = 60 units
Efficiency of A + B = 60/12 = 5
Efficiency of B + C = 60/15 = 4
Efficiency of C + A = 60/20 = 3
Efficiency of (A + B + C) = 12/2 = 6 units
Required time taken = 60/6 = 10