A can do a certain work in the same time that B and C together can do it. If A and B together could do it in 10 days and B alone in 25 days, then C alone could do it in:
Show answer & explanation
Correct answer: C
Explanation
Given:
A = B + C
A + B = 10 days
B = 25 days
Rate of A + B = 1/10
Rate of B = 1/25
Rate of A = 1/10 − 1/25
= (5 − 2)/50
= 3/50
A = B + C
3/50 = 1/25 + C
3/50 = 2/50 + C
C = 1/50
Time = 50 days