Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

A and B alone can do a piece of wok in 8 and 18 days respectively In how many days the work will be ...........

Quantitative Aptitude (IB) Time and work

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?

6 5/9 days

5 days

10 7/9 days

10 9/7 days

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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

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