Questions: Estimate the distance you can travel in 3 hours 10 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile. The estimated distance is miles.

Solution Steps

The given time is 3 hours and 10 minutes. To work with the speed in miles per hour, convert the minutes to hours: \[ 10 \text{ minutes} = \frac{10}{60} \text{ hours} = \frac{1}{6} \text{ hours} \approx 0.1667 \text{ hours}. \] Thus, the total time is: \[ 3 \text{ hours} + 0.1667 \text{ hours} = 3.1667 \text{ hours}. \]

Using the formula: \[ \text{Distance} = \text{Speed} \times \text{Time}, \] substitute the given speed (49 miles per hour) and the calculated time (3.1667 hours): \[ \text{Distance} = 49 \times 3.1667 \approx 155.1667 \text{ miles}. \]

Round the calculated distance to the nearest whole number: \[ 155.1667 \text{ miles} \approx 155 \text{ miles}. \]

Final Answer