SOLUTION: one machine can complease a job in 10 minutes if the same job is done by this machine and an older machine working together the two job can be completed in 6 minutes. how long

Question 1171222: one machine can complease a job in 10 minutes if the same job is done by this machine and an older machine working together the two job can be completed in 6 minutes. how long

Found 3 solutions by MathLover1, josgarithmetic, greenestamps:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Machine : minutes
rate of job in minute
Machine minutes
they do of the job in minute

Job done by in minute =

=
=
=
so machine will take minutes to do the same job

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
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one machine can complease a job in 10 minutes if the same job is done by this machine and an older machine working together the two job can be completed in 6 minutes.
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Maybe this is written better:
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One machine can complete a job in 10 minutes. If the same job is done by this machine and an older machine working together the job can be completed in 6 minutes.
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If this is really the way you mean the problem then:

-------------minutes if just the older machine does 1 job alone.
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

If a formal algebraic solution is not required....

The newer machine can do the job alone in 10 minutes.

So when the two machines together do the job in 6 minutes, the newer machine does 6/10 = 3/5 of the job.

That means in those 6 minutes the older machine does 2/5 of the job.

2/5 of the job in 6 minutes means the older machine can do the whole job alone in (5/2)*6 = 15 minutes.

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