Question

a and b alone can do a piece of wok in 8 and 18 days respectively. in how many days the work will be completed if they both work on alternate days starting with b?

Answer 1

Hi,

Here is the answer,

10 7/9 days

Explanation:

A = 8 days, B = 18 days

Total work = LCM(8,18) = 72

So efficiency of A = 72/8 = 9, efficiency of B = 72/18 = 4

2 days work of (A+B) = 9+4 = 13

2*5(10) days work of (A+B) = 9+4 = 13*5 = 65

So remaining work = 72-65 = 7

Now A’s turn on 6th day, he will do remaining work(7) in 7/9 day

So total 10 7/9 days

Answer 2

11¹/³ days will be the answer