Question

A roofer earns $25 per hour for regular hours worked and $30 per hour for overtime hours worked. If he puts in 40 hours of regular time during a certain week and he wishes to earn $1140, how many hours of overtime should he work?The roofer should work ___ hours of overtime.

Answer 1

Given:

A roofer earns ​$25 per hour for regular hours worked and ​$30 per hour for overtime hours worked. He puts in 40 hours of regular time during a certain week and he wishes to earn ​$1140​.

Required:

To find how many hours of overtime should he​ work.

Explanation:

Let he should work x hours overtime.

Then the equation becomes:

$\begin{gathered} 25(40)+30(x)=1140 \\ 1000+30x=1140 \\ 30x=1140-1000 \\ 30x=140 \\ x=\frac{140}{30} \\ x=4.66 \\ x\approx5 \end{gathered}$

He should work approximately 5 hours.

Final Answer:

He should work approximately 5 hours overtime.