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Machine A and B are used to produce 660 cars. It takes

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Machine A and B are used to produce 660 cars. It takes [#permalink] New post 09 Jun 2007, 17:59
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Machine A and B are used to produce 660 cars. It takes machine A 10 hours longer to produce 660 cars then machine B. Machine B produces %10 more cars per hour then machine A. how many cars an hour does machine A produce?

6
6.6
60
100
110


Can someone please explain the non-plug in way to do this...
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 [#permalink] New post 09 Jun 2007, 18:13
Lets say machine A takes x hours to produce 660 cars

Its rate is 660/x cars in 1 hour
Machine B's rate is 660/x-10 per hour (since it takes 10 hours less than x)

according to the question B produces 10% more cars
so
600/x * 110/100 = 660/x-10

Solving this gives us 110 hours. But the question is how many cars per hour does machine one take = 660/110 = 6 hours

Answer is A.
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 [#permalink] New post 09 Jun 2007, 18:15
Write it out in equation form. T=time R=rate of building cars

Machine A: (T+10)R=660
Machine B: T(1.1R)=660

So (T+10)R=1.1TR

Divide both sides by R to eliminate it

T+10=1.1T

10=.1T

T=100

Plug that into (T+10)R=660 for machine A

R=6 cars per hour
  [#permalink] 09 Jun 2007, 18:15
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Machine A and B are used to produce 660 cars. It takes

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