Aman Naman and Kamal can do a piece of work in 6 hours Aman and Naman can do the same work in 8 hour...........

Quant (SSC) Time and work

Aman, Naman and Kamal can do a piece of work in 6 hours. Aman and Naman can do the same work in 8 hours and Naman and Kamal can do the same work in 12 hours. In how many times will Aman and Kamal do the same work?

6 hours

8 hours

10 hours

12 hours

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Explanation:

Let Aman and Kamal can do the same work in x hours.
According to the question,
Kamal can do the work = 1 /1-6 - 1/8
= 1 /4-3/24 = 24 hours
Aman can do the work = 1 /1-6 - 1/12
= 1 /2-1/12 = 12 hours
Aman and Kamal can do the work = 1 /1/12 + 1/24
= 1 / 2 +1/24 = 8 hours