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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?

  • a)
     

  • b)
    5 days

  • c)
    ​​​​​​

  • d)

  • e)

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A and B alone can do a piece of wok in 8 and 18 days respectively. In ...
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
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A and B alone can do a piece of wok in 8 and 18 days respectively. In ...
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Community Answer
A and B alone can do a piece of wok in 8 and 18 days respectively. In ...
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
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