Question

jeff earns $10.00 per hour for the first 8 hours he work each day. he earns 1.5 times his regular pay rate for each hour he work beyond 8 hours. on monday he earned $140.00.
how many hours di jeff work on monday?

Answer 1

To determine how many hours Jeff worked on Monday, let's break down his earnings.

1. Jeff earns $10.00 per hour for the first 8 hours.
- For the first 8 hours, his earnings would be:
\( 8 \text{ hours} \times 10 \text{ dollars/hour} = 80 \text{ dollars} \)

2. For hours worked beyond 8 hours, he earns 1.5 times his regular pay rate:
- His overtime pay rate is:
\( 1.5 \times 10 \text{ dollars} = 15 \text{ dollars/hour} \)

3. Let \( x \) be the number of hours Jeff worked over 8 hours. His total earnings can be expressed as:
- Total earnings = Regular pay for 8 hours + Overtime pay
- Total earnings = \( 80 \text{ dollars} + 15 \text{ dollars/hour} \times x \)

4. According to the problem, his total earnings on Monday were $140. So, we set up the equation:
\[
80 + 15x = 140
\]

5. Subtract 80 from both sides:
\[
15x = 140 - 80
\]
\[
15x = 60
\]

6. Now, divide by 15:
\[
x = \frac{60}{15} = 4
\]

7. This means Jeff worked 4 hours of overtime. Therefore, the total number of hours he worked on Monday is:
\[
8 \text{ hours} + 4 \text{ hours} = 12 \text{ hours}
\]

So, Jeff worked **12 hours** on Monday.