GATE Electronics and Communications (EC) 2019 Solved Paper

Question : 5 of 65

Marks: +1, -0

It would take one machine 4 hours to complete a production order and another machine 2 hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is __________ hours.

Validate

Solution:

Let t be the time taken by the machines when they work simultaneously

∴ \;{1}/{t}=\;{1}/{4}+\;{1}/{2}

∴ \;{1}/{t}=\;{3}/{4}

∴ t=\;{4}/{3}

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