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Three machines A, B, and C take 3 hours to do a job, when working together.  Machines A and B are identical, and C working along can complete the job in 12 hours.  How long would it take A working alone?

 May 11, 2020
 #1
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A time = B time

 

1/a + 1/a + 1/c = 1/3        1/c = 1/12

2/a + 1/12 = 1/3

2/a = 1/3 - 1/12

2/a = 4/12 - 1/2

2/a = 3/12

1/a = 3/24

a = 24/3 = 8 hr

 May 11, 2020

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