Gorang worked `4""1/2h` on Monday, 190 min on Tuesday, from 5:20 am to 9:10 am on Wednesday and 220 min on Friday. He is paid Rs. 42 per hour. How much did he earn from Monay to Friday?

Options

A. Rs. 560
B. Rs. 580
C. Rs. 540
D. Rs. 637

Answer

To find out how much Gorang earned from Monday to Friday, we will calculate the total hours he worked each day, convert them into hours where necessary, and then multiply the total hours by his hourly wage of Rs. 42.

### Step 1: Calculate hours worked on Monday
Gorang worked for \(4 \frac{1}{2}\) hours on Monday.
- Convert \(4 \frac{1}{2}\) hours into improper fraction:
\[ 4 \frac{1}{2} = \frac{9}{2} \text{ hours} \]

### Step 2: Calculate earnings for Monday
- Earnings for Monday:
\[ \text{Earnings} = \text{Hours worked} \times \text{Rate per hour} = \frac{9}{2} \times 42 = 189 \text{ Rs.} \]

### Step 3: Calculate hours worked on Tuesday
Gorang worked for 190 minutes on Tuesday.
- Convert minutes to hours:
\[ 190 \text{ minutes} = \frac{190}{60} \text{ hours} = 3 \frac{10}{60} = 3 \frac{1}{6} \text{ hours} \]

### Step 4: Calculate earnings for Tuesday
- Earnings for Tuesday:
\[ \text{Earnings} = 3 \frac{1}{6} \times 42 = \frac{19}{6} \times 42 = 133 \text{ Rs.} \]

### Step 5: Calculate hours worked on Wednesday
Gorang worked from 5:20 AM to 9:10 AM on Wednesday.
- Calculate the duration:
\[ 9:10 - 5:20 = 3 \text{ hours and } 50 \text{ minutes} = 3 + \frac{50}{60} = 3 \frac{5}{6} \text{ hours} \]

### Step 6: Calculate earnings for Wednesday
- Earnings for Wednesday:
\[ \text{Earnings} = 3 \frac{5}{6} \times 42 = \frac{23}{6} \times 42 = 161 \text{ Rs.} \]

### Step 7: Calculate hours worked on Friday
Gorang worked for 220 minutes on Friday.
- Convert minutes to hours:
\[ 220 \text{ minutes} = \frac{220}{60} \text{ hours} = 3 \frac{40}{60} = 3 \frac{2}{3} \text{ hours} \]

### Step 8: Calculate earnings for Friday
- Earnings for Friday:
\[ \text{Earnings} = 3 \frac{2}{3} \times 42 = \frac{11}{3} \times 42 = 154 \text{ Rs.} \]

### Step 9: Calculate total earnings from Monday to Friday
Now, we sum up all the earnings:
\[ \text{Total Earnings} = 189 + 133 + 161 + 154 \]
Calculating this gives:
\[ \text{Total Earnings} = 637 \text{ Rs.} \]

### Final Answer
Gorang earned a total of **Rs. 637** from Monday to Friday.

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