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Problem Solving (PS) | Re: Jack and Jill working separately complete a work in 8 days and 12 days

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pushkarajnjadhav wrote:

Jack and Jill working separately complete a work in 8 days and 12 days respectively. If they work on alternate days starting with Jill on the first day, in how many days will the work be completed?

A) 9 1/2 days
B) 9 2/3 days
C) 10 days
D) 10 8/12 days
E) 12 days


Jack’s rate is 1/8 and Jill’s rate is 1/12.

In the first day, Jill completes 1/12 of the job. In the second day, Jack completes 1/8 of the job. Thus, in the first two days, Jill and Jack complete 1/12 + 1/8 = 2/24 + 3/24 = 5/24
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