A man walks at a rate of 10 mph. After every ten miles, he rests for 6 minutes. How many minutes does he take to walk 50 miles?

Options

A. 300
B. 318
C. 322
D. 324

Answer

To solve the problem step by step, we can break it down as follows:

### Step 1: Calculate the walking time for 50 miles.
- The man walks at a speed of 10 miles per hour.
- To find the time taken to walk 50 miles, we use the formula:

\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]

- Substituting the values:

\[ \text{Time} = \frac{50 \text{ miles}}{10 \text{ mph}} = 5 \text{ hours} \]

### Step 2: Convert the walking time from hours to minutes.
- Since 1 hour = 60 minutes, we convert 5 hours into minutes:

\[ 5 \text{ hours} = 5 \times 60 = 300 \text{ minutes} \]

### Step 3: Calculate the number of rests taken during the walk.
- The man takes a rest after every 10 miles.
- For a total distance of 50 miles, he will take rests after completing 10 miles, 20 miles, 30 miles, and 40 miles.
- This means he will take a total of 4 rests (after the first 10 miles, the second 10 miles, the third 10 miles, and the fourth 10 miles).

### Step 4: Calculate the total rest time.
- Each rest lasts for 6 minutes. Therefore, the total rest time is:

\[ \text{Total Rest Time} = 4 \text{ rests} \times 6 \text{ minutes/rest} = 24 \text{ minutes} \]

### Step 5: Calculate the total time taken for the entire journey.
- The total time taken is the sum of the walking time and the rest time:

\[ \text{Total Time} = \text{Walking Time} + \text{Rest Time} = 300 \text{ minutes} + 24 \text{ minutes} = 324 \text{ minutes} \]

### Final Answer:
The total time taken by the man to walk 50 miles is **324 minutes**.

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