Question

Therefore, Work done by A in one day will be 1/8. Work done by B in one day will be 1/6. Therefore, B takes 9/2 days to complete the remaining work.​

Answer 1

Step-by-step explanation:

A alone can do a piece of work in 8 days which mean in 1 day, the amount of work done by A alone is 1/8.

Work done by B is half of work done by A alone in 1 day, thus work done by B in 1 day is

(1/2)(1/8) = 1/16

Amount of work done by A and B together in 1 day = 1/8 + 1/16 = 3/16

Let x be the number of days required to complete a work if A and B work together

Now,

3/16 amount of work - 1 day

16/16 i.e. 1 or total amount of work - x days

Cross multiply,

(3/16) x = 16/16

Thus,

x = 16/3 = 5.33 approximately