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

12. Let $R$ be the regular hours and $T$ be the overtime hours. $$R + T = 172$$ Regular income $= 57 R$, Overtime income $= 114 T$. Given: $$114 T = 0.15 	imes 57 R$$ $$114 T = 8.55 R \implies T = 0.075 R$$ Substitute $T = 0.075 R$ into total hours equation: $$R + 0.075 R = 172 \implies 1.075 R = 172 \implies R = 160$$ $$T = 172 - 160 = 12	ext{ hours}$$

Regular vs overtime work hours

Explanation

Practise this under exam conditions