Q. A can do a piece of work in 10 days, and B can do the same work in 15 days. If they work together, how long will it take them to finish the work?
A) 5 days
B) 6 days
The rate of work done by A is 1/10 per day, and the rate of work done by B is 1/15 per day. The rate of work done by both together is (1/10 + 1/15) per day, which is 1/6 per day. Therefore, the time taken by both together to finish the work is 6 days.
C) 7 days
D) 8 days