Question

Simon arrived at work at 8:15 A.M. and left work at 10:30 P.M. If Simon gets paid by the hour at a rate of $10 and time and ½ for any hours worked over 8 in a day. How much did Simon get paid?

• A. $120.25
• B. $160.75
• C. $173.75
• D. $180.00
• E. $182.50

Hint:

When calculating time intervals that cross P.M., it can be helpful to convert to a 24-hour clock. 8:15 A.M. is 08:15 and 10:30 P.M. is 22:30. The difference is 14 hours and 15 minutes.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This problem involves calculating total wages based on regular hours and overtime hours, which are paid at a higher rate.
Step 2: Key Formula or Approach:
1. Calculate the total hours worked.
2. Separate the total hours into regular hours (up to 8) and overtime hours (anything over 8).
3. Calculate the pay for regular hours.
4. Calculate the overtime pay rate (time and a half).
5. Calculate the pay for overtime hours.
6. Add the regular pay and overtime pay together.
Step 3: Detailed Explanation:
1. Calculate total hours worked:
From 8:15 A.M. to 8:15 P.M. is exactly 12 hours.
From 8:15 P.M. to 10:15 P.M. is another 2 hours.
From 10:15 P.M. to 10:30 P.M. is 15 minutes.
Total time = 12 hours + 2 hours + 15 minutes = 14 hours and 15 minutes.
Convert minutes to a decimal of an hour: 15 minutes = \( \frac{15}{60} \) hours = 0.25 hours.
So, total hours worked = 14.25 hours.
2. Separate regular and overtime hours:
Regular hours = 8 hours.
Overtime hours = Total hours - Regular hours = \( 14.25 - 8 = 6.25 \) hours.
3. Calculate regular and overtime pay:
Regular pay rate = $10/hour.
Regular pay = \( 8 \text{ hours} \times \$10/\text{hour} = \$80.00 \).
Overtime rate is time and a half: \( \$10 \times 1.5 = \$15/\text{hour} \).
Overtime pay = \( 6.25 \text{ hours} \times \$15/\text{hour} = \$93.75 \).
4. Calculate total pay:
Total Pay = Regular Pay + Overtime Pay = \( \$80.00 + \$93.75 = \$173.75 \).
Step 4: Final Answer:
Simon got paid $173.75. The correct option is (C).