Question

Michael earns $16.75 per hour as a mechanic. From Monday through Thursday, he starts at 7:00 am. He takes a 45-minute lunch break every day. If he ends work at 3:30 pm Monday through Thursday, how late must he work on Friday to have a total pay of $636.50 for the week?

A) 4:00 pm
B) 4:30 pm
C) 5:00 pm
D) 5:30 pm

Answer 1

Option B. Michael needs to work until 4:18 pm on Friday to have a total pay of $636.50 for the week.

Step-by-step explanation:

To calculate how late Michael must work on Friday to have a total pay of $636.50 for the week, we need to first calculate his total earnings for the first four days, and then subtract it from $636.50 to find how much he still needs to earn. Each day, Michael works for 8 hours, with a 45-minute lunch break, which means he works for a total of 7 hours and 15 minutes. Therefore, his total earnings for the first four days is $16.75/hour x 7.25 hours/day x 4 days = $482.85.

To find out how much more he needs to earn, we subtract $482.85 from $636.50, which gives us $636.50 - $482.85 = $153.65. Lastly, we divide this remaining amount by his hourly wage of $16.75 to get the number of extra hours he needs to work. $153.65 / $16.75 = 9.18. Since Michael works from 7:00 am to 3:30 pm on Friday, which is 8 hours and 30 minutes, he only needs to work an additional 48 minutes to reach the required amount of pay. Therefore, he needs to work until 4:18 pm on Friday.