If your pace on a treadmill is 65 meters per minute, how many minutes will it take for you to walk a distance of 7500 feet?
The Correct Answer and Explanation is:
To determine how many minutes it will take to walk a distance of 7500 feet at a pace of 65 meters per minute on the treadmill, we can break this down step by step.
Step 1: Convert the distance from feet to meters.
Since the treadmill pace is given in meters per minute, we first need to convert the distance from feet to meters. The conversion factor between feet and meters is:1 foot=0.3048 meters1 \text{ foot} = 0.3048 \text{ meters}1 foot=0.3048 meters
So, for 7500 feet:7500 feet×0.3048 meters/foot=2286 meters7500 \text{ feet} \times 0.3048 \text{ meters/foot} = 2286 \text{ meters}7500 feet×0.3048 meters/foot=2286 meters
Step 2: Use the pace to calculate the time.
You are walking at a pace of 65 meters per minute. To find the time it will take to cover 2286 meters, we divide the total distance by the pace:Time=DistancePace=2286 meters65 meters/minute≈35.15 minutes\text{Time} = \frac{\text{Distance}}{\text{Pace}} = \frac{2286 \text{ meters}}{65 \text{ meters/minute}} \approx 35.15 \text{ minutes}Time=PaceDistance=65 meters/minute2286 meters≈35.15 minutes
Final Answer:
It will take approximately 35.15 minutes to walk 7500 feet at a pace of 65 meters per minute.
Explanation:
The problem involves converting feet to meters and then using the formula for time, which is distance divided by speed. The units of feet were converted to meters to match the pace’s unit (meters per minute). The resulting time is approximately 35.15 minutes, meaning you will need a little over 35 minutes to walk the given distance.
