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?

Make the problem an equation.

Step-by-step explanation:

Takes a break 0.2 of each hour he works. He also takes a lunch break for 0.5 of an hour each day he works. Elon’s break time totals 12.5 hours at the end of 5 days.

Total rest = 12.5

Break for lunch + Break for work = 12.5

0.5 * (5) + Break for work  = 12.5

Break for work  = 12.5-2.5 = 10

Hours at work = Hours of net work + Total Break

1/5 Hours worked = Break for work

Hours at work = Hours of net work + (Break for lunch + break for work)

Hours at work = 5* Break for work + (12.5)

Hours at work = 5 * 10 + 12.5

Hours at work = 62.5

62.5 = hours worked + 12.5

Net work hours = 50

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32