Question

If a can complete a work in 12 days, b in 15 days and c can do the same work in 20 days. a started the work and left after 2 day the remaining work by b in how many days?

a. 25
b. 33
c. 25/2
d. none

Answer 1

B would take 25/2 days to complete the remaining work.

Step-by-step explanation:

To find out how many days it would take for B to complete the remaining work after A left, we need to determine how much work A has done in the 2 days. Since A can complete the work in 12 days, he completes 1/12th of the work in one day. Therefore, in 2 days, A completes 1/12 x 2 = 1/6th of the work. The remaining work is (1 - 1/6 = 5/6) of the total work. Since B can complete the work in 15 days, he completes 1/15th of the work in one day. Therefore, it would take B 15 x (5/6) = 25/2 days to complete the remaining work. So the answer is c. 25/2 days.