CAT 2019 Time and Work Question (Medium)

Question

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

Accepted Answer

Alright, let s solve this step by step --- Step 1 Define variables Let regular hours x Let overtime hours y We know x y 172 quad ... 1 --- Step 2 Write income equations Income from regular hours Income from overtime hours We are told 114y 0.15 times 57x quad ... 2 --- Step 3 Simplify equation 2 114y

CAT 2019

Quantitative

Time and Work

Medium

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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