Question

1. General Trades A roofer earns $24 per hour plus $36 per hour overtime. If he puts in 40 hours of regular time during a certain week and he wishes to earn $1200, how many hours of overtime should he work?

Answer 1

He should work
`6(2)/(3)` hours in overtime.

Explanation:

Let x represents the number of hours of regular time and y represents the number of hours of overtime,

Since, earnings are $24 per hour for regular time and $36 per hour for overtime,

Thus, total earning = (24x + 36y) dollars,

Here, x = 40 hours and total earning = $ 1200,

By substituting the values,

1200 = 24(40) + 36y

1200 = 960 + 36y

240 = 36y

⇒
`y = 6(2)/(3)\text{ hours}`

Hence, he should work
`6(2)/(3)` hours in overtime.