CAT 2019 Shift 2 Paper

Question : 74 of 100

Marks: +1, -0

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime?

Your Answer:

Validate

Solution:

Let the number of hours for regular and overtime work be

{x}

and

{y}

respectively.
We have two equations:

x+y=172 . . .(1)

114 y=\;{15}/{100} × 57 x . . .(2)

On solving both the equations, we get

x=160

and

y 12

.
Hence, his overtime work

=12

hours

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