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It takes two hours for two machines to manufacture 10000 parts. If machine #1 can do the job in one hour less than machine #2, how long does it take for each machine to manufacture 10000 parts alone

 Jun 27, 2020
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1/x   +  1/(x-1)  =  1/2

solve for x the slower machine time

 

x-1  + x  = 1/2 (x)(x-1)

 2x-1 = 1/2x^2 - 1/2x

1/2x^2  -2.5x +1 = 0      x =  4.561 hr         the other machine is 3.561 hr

 Jun 27, 2020

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