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1 . A and B can do a work in 12 days. B and C can do it is 15 days, and A and C can do it in 20 days. If all of them work together, in how many days they can finish the work?

A. 25
B. 9
C. 12
D. 10
D. 15

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Answer: Option D

Explanation:

A + B can do the work in 12 days.

In a single day A + B will do 1/12 th portion of the work.

B + C can do the work in 15 days.

In a single day B + C will do 1/15 th portion of the work.

A + C can do the work in 20 days.

In a single day A + C will do 1/20 th portion of the work.

In a day (A + B) + (A + C) + (C + A) will do = (1/12) + (1/15) + (1/20) portion of the work.

2(A + B + C) = (1/12) + (1/15) + (1/20) = 1/5 portion of the work.

Then, (A + B + C) will do = 1/10 portion of the work in a day

A + B + C will complete the work in 10 days.

Sonali- Janata &amp- Agrani Bank Offier (Cash Recruitment) 22.02.2008

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