A man travels at a speed of 12miller/hr . How long in minutes to the nearest integer, would he take , to cover a distance of 3750 yards ? ( 1 mile = 5280 yards).

Answer

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

### Step 1: Convert the speed from miles per hour to yards per minute.
- Given speed = 12 miles/hour
- We know that 1 mile = 5280 yards.
- Therefore, speed in yards/hour = 12 miles/hour × 5280 yards/mile = 63360 yards/hour.
- Since there are 60 minutes in an hour, we convert this to yards/minute:

\[ \text{Speed in yards/minute} = \frac{63360 \text{ yards/hour}}{60 \text{ minutes/hour}} = 1056 \text{ yards/minute} \]

### Step 2: Use the formula for time.
- We know the formula for time is:

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

- Given distance = 3750 yards and speed = 1056 yards/minute, we can substitute these values into the formula:

\[ \text{Time} = \frac{3750 \text{ yards}}{1056 \text{ yards/minute}} \approx 3.55 \text{ minutes} \]

### Step 3: Round to the nearest integer.
- The problem asks for the time to the nearest integer. Since 3.55 rounds to 4 (because the digit after the decimal point is 5), we conclude:

\[ \text{Time} \approx 4 \text{ minutes} \]

### Final Answer:
The man would take approximately **4 minutes** to cover a distance of 3750 yards.

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