A and B together can do a work in 6 days. B and C together can do it in 8 days. A and C together can do it in 12 days. In how many days can A alone do the work?
Show answer & explanation
Correct answer: C
Explanation
Given:
A + B = 1/6
B + C = 1/8
A + C = 1/12
Adding the three equations: 2(A + B + C) = 1/6 + 1/8 + 1/12
= 4/24 + 3/24 + 2/24
= 9/24 = 3/8
A + B + C = 3/16
A = (A + B + C) - (B + C)
A = 3/16 - 1/8
= 3/16 - 2/16
= 1/16
Therefore, A alone will complete the work in 16 days.