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Re: Machine X if operating alone takes 10 hours to complete a job. Machine [#permalink]
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Together \(x \) and \(y \) worked for \( 7\) hrs.

Machine \(x \) started one hour early so \(x \) worked one hour extra.

Hence machine \(x\) worked \(8\) hrs

Let \(t\) be the time taken by machine \(y\) to complete the work alone

So machine \( x\) worked \(8\) hrs and machine \(y\) worked \(7\) hrs and whole work was completed :

\(\frac{8}{10} + \frac{7}{t} =1 \)

\(t= 35 \)

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Re: Machine X if operating alone takes 10 hours to complete a job. Machine [#permalink]
This is one of the very few subtopics I have grasped well. Indeed assigning nice values that makes sense with both time of work completion, usually the LCM of both time values, is invaluable and helps make everything simple to attempt. Love it!
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Re: Machine X if operating alone takes 10 hours to complete a job. Machine [#permalink]
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