A and B can complete a certain work in 6 days and 8 days, respectively. They worked together for 3 days. C alone completed the remaining work in 2 days. B and C together can complete 3/4 of the same work in :
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 4 days.
According to the question
A * 6 days = B * 8 days
A/B = 4/3
Total work = worker * time = A * 6 = 4 * 6 = 24 days
Now,
(A + B) * 3 + C * 2 = Total work = 24
(4 + 3) *3 + C * 2 = 24
C = 1.5
B and C together can complete 3/4 of the same work = 24 * 3/4 = 18
= 18 /(3+1.5) = 18/4.5 = 4 days