In a regular week , there are 5 working days and for each day , the working hours are 8 . A man gets Rs 2.40 per hour for regular work and Rs 3.20 per hour for overtime . If he earns Rs 432 in 4 weeks , then how many hours does he work for ?

Options

A. 160 hrs
B. 175 hrs
C. 180 hrs
D. 195 hrs

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate Total Regular Working Hours in 4 Weeks
In a regular week, there are 5 working days and each day consists of 8 working hours.

Total working hours in one week = Number of working days × Working hours per day
= 5 days × 8 hours/day = 40 hours/week

Now, for 4 weeks:
Total working hours in 4 weeks = 40 hours/week × 4 weeks = 160 hours

### Step 2: Set Up the Earnings Equation
Let the number of overtime hours worked be \( X \).

The total earnings from regular work and overtime can be expressed as:
Total earnings = Earnings from regular hours + Earnings from overtime hours

Earnings from regular work:
Rate for regular work = Rs 2.40/hour
Total earnings from regular work = 160 hours × Rs 2.40/hour = Rs 384

Earnings from overtime work:
Rate for overtime work = Rs 3.20/hour
Total earnings from overtime work = Rs 3.20/hour × \( X \) hours

Thus, the equation for total earnings becomes:
384 + 3.20X = 432

### Step 3: Solve for Overtime Hours (X)
Now, we will solve for \( X \):
384 + 3.20X = 432

Subtract 384 from both sides:
3.20X = 432 - 384
3.20X = 48

Now, divide both sides by 3.20 to find \( X \):
X = 48 / 3.20
X = 15 hours

### Step 4: Calculate Total Working Hours
Now that we have the overtime hours, we can calculate the total working hours:
Total working hours = Regular working hours + Overtime hours
Total working hours = 160 hours + 15 hours = 175 hours

### Final Answer
The total number of hours worked by the man is **175 hours**.

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