# CAT 2019 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Quants Questions | Question 34

Time and work is a part of the Arithmetic in the Quantitative Ability section of the CAT exam. As seen in 2IIM's CAT Blueprint, the arithmetic part of this section makes up for about 50 percent of the total questions in this section. Thus, it is important to focus on these questions so that you can glide smoothly through the googlies that the CAT Question Paper throws at you! Do not get caught off guard! Solve CAT previous year paper questions and gear up your online CAT Preparation to go full blazing on such questions!

Question 34 : 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? [TITA]

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### Explanatory Answer

If John works the same number of regular and over-time hours say 'p'
The the income would be 57p and 114p

Let's say that he works 'x' hours regular and 'y' hours overtime...
So, the income would be 57x and 114y

we are told that 114y is 15% of 57x
114y = 0.15 * 57x
y = 0.075x

we also know that x+y = 172
therefore, x + 0.075x = 1.075x = 172
x = 160

y = 172 - 160 = 12
Therefore, the number of hours he worked Overtime is 12.

The question is "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? [TITA] "

##### Hence, the answer is 12

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