1. The problem asks to find the value of $Q$, which represents the number of hours Khan worked overtime at double time.
2. To solve this, we need the formula relating total income, regular hours, overtime hours, and pay rates. Typically, total income $I$ can be expressed as:
$$I = (R \times H) + (D \times Q)$$
where $R$ is the regular hourly rate, $H$ is the number of regular hours worked, $D$ is the double time hourly rate, and $Q$ is the overtime hours at double time.
3. Important rules:
- Overtime pay is double the regular hourly rate, so $D = 2R$.
- Total income and expenses are given, so net pay can be calculated.
4. From the table, total expenses are $300 + 65 + 300 = 665$.
5. Monthly net pay is $1100$, so total income $I$ is:
$$I = \text{net pay} + \text{expenses} = 1100 + 665 = 1765$$
6. Assume Khan worked $H = 40$ regular hours at rate $R$, and $Q$ overtime hours at double rate $D = 2R$.
7. Substitute into the income formula:
$$1765 = R \times 40 + 2R \times Q = R(40 + 2Q)$$
8. To find $Q$, we need $R$. If $R$ is known or can be found, solve for $Q$:
$$Q = \frac{1765}{R} - 40 \div 2 = \frac{1765}{2R} - 20$$
9. Without $R$, we cannot find a numeric value for $Q$. If $R$ is given, plug in and solve.
Final answer depends on $R$. If $R$ is known, use step 8 to find $Q$.
Overtime Hours 543474
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