A man covers a journey by car in 3 hours. He covers a distance of 64 km 324 m during the first hour, 58 km 56 m during the second hour and 62 km 8 m during the third hour. What is the length of his journey?

Options

A. 180.684 km
B. 185.684 km
C. 127.124 km
D. None of these

Answer

To solve the problem step by step, we will calculate the total distance covered by the man during his journey by adding the distances covered in each hour.

### Step 1: Convert the distances from meters to kilometers
1. **First Hour:**
- Distance covered = 64 km 324 m
- Convert 324 m to kilometers:
\[ 324 \text{ m} = \frac{324}{1000} \text{ km} = 0.324 \text{ km} \]
- Total distance for the first hour:
\[ 64 \text{ km} + 0.324 \text{ km} = 64.324 \text{ km} \]

2. **Second Hour:**
- Distance covered = 58 km 56 m
- Convert 56 m to kilometers:
\[ 56 \text{ m} = \frac{56}{1000} \text{ km} = 0.056 \text{ km} \]
- Total distance for the second hour:
\[ 58 \text{ km} + 0.056 \text{ km} = 58.056 \text{ km} \]

3. **Third Hour:**
- Distance covered = 62 km 8 m
- Convert 8 m to kilometers:
\[ 8 \text{ m} = \frac{8}{1000} \text{ km} = 0.008 \text{ km} \]
- Total distance for the third hour:
\[ 62 \text{ km} + 0.008 \text{ km} = 62.008 \text{ km} \]

### Step 2: Add the distances from all three hours
Now, we will add the distances covered in each hour:
\[ \text{Total Distance} = 64.324 \text{ km} + 58.056 \text{ km} + 62.008 \text{ km} \]

### Step 3: Perform the addition
1. Align the numbers for addition:
```
64.324
58.056
62.008
---------
```

2. Add the numbers column by column:
- Start from the rightmost column:
- \(4 + 6 + 8 = 18\) (write 8, carry over 1)
- \(2 + 5 + 0 + 1 = 8\)
- \(3 + 0 + 0 = 3\)
- \(4 + 8 + 2 = 14\) (write 4, carry over 1)
- \(6 + 5 + 6 + 1 = 18\) (write 8, carry over 1)
- The final sum is:
\[ 184.388 \text{ km} \]

### Final Answer
The total length of the journey covered by the man is:
\[ \text{Total Distance} = 184.388 \text{ km} \]

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