GATE Electrical Engineering (EE) 2019 Solved Paper

Question : 2 of 65

Marks: +1, -0

It takes two hours for a person

X

to mow the lawn.

Y

can mow the same lawn in four hours. How long (in minutes) will it take

{X}

and

{Y}

, if they work together to mow the lawn?

Solution:

Given data:
X Y
↓ ↓
2 4
The work done by

X

in 1 hour

=\;{1}/{2}

The work done by

Y

in 1 hour

=\;{1}/{4}

The work done by

{X}+ {Y}

in lhour

=\;{1}/{2}+\;{1}/{4}

=\;{3}/{4}

Time taken by

{X}+ {Y}

to do work

=\;{1}/{3 {/} 4}

hour

=\;{4}/{3}

hour

=80 {min}

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