Amresh and Bhagwan together can do a piece of work in 20 days, Bhagwan and Chandar in 15 days, and Chandar and Amresh in 30 days. In how many days can Amresh, Bhagwan, and Chandar working together complete the work?
Show answer & explanation
Correct answer: C
Explanation
Let A, B, and C be the one-day work capacities of Amresh, Bhagwan, and Chandar, respectively.
A + B = 1/20
B + C = 1/15
C + A = 1/30
Adding the three equations:
2(A + B + C) = 1/20 + 1/15 + 1/30
= (3 + 4 + 2)/60
= 9/60
= 3/20
A + B + C = 3/40
Therefore, the time taken by the three of them together to complete the work = 1 / (3/40) = 40/3 days
= 13 1/3 days