Question

At work, Elon takes a break 1/5​​ of each hour he works. He also takes a lunch break for 1/2​​ of an hour each day he works. Elon’s break time totals 12 1/2​​ hours at the end of 5​ days. Which equation could be used to determine the number of hours, h​ , Elon works during one 5​-day work week?

Answer 1

`h=50\ hours`

Explanation:

Let

h -----> the number of hours, Elon works during one 5​-day work week

we know that

`12(1)/(2)\ h=(12*2+1)/(2)=(25)/(2)\ h`

Elon’s break time must be equal to 1/2​​ of an hour multiplied by 5 days plus 1/5​​ multiplied by the total hours h

so

`(25)/(2)=5((1)/(2))+(1)/(5)h`

Solve for h

Multiply by 10 both sides to remove the fraction

`125=25+2h`

`2h=125-25`

`2h=100`

`h=50\ hours`