Hey,
So a runner wants to run 10.0 km. She knows that her running pace is 7.5 m per hour. How many minutes must she run?
Can you explain it?
50 minutes
You want to convert rate to time.
7.5m/hr x ?hr = 10,000m
Solve for ?hr and convert to minutes. OR, use the distance formula that is
distance = rate x time.
10,000 = 7.5 m/hr x ?hr. Solve for ?hr and convert to minutes.
1.30
Of course! To calculate how many minutes the runner must run, we need to convert the running pace from meters per hour to kilometers per minute. Here's the breakdown of the steps:
Step 1: Convert the running pace from meters per hour to kilometers per minute.
- The runner's pace is 7.5 meters per hour.
- To convert this to kilometers per minute, we need to multiply this by a conversion factor.
- There are 1000 meters in a kilometer and 60 minutes in an hour, so the conversion factor is 1000/60.
- Therefore, the running pace is (7.5 * 1000) / 60 = 125 meters per minute.
Step 2: Calculate the time required to run 10 kilometers.
- The runner wants to run 10.0 kilometers.
- To determine the time required, we divide the distance by the running pace.
- Therefore, the time required is 10.0 / 125 = 0.08 minutes.
Step 3: Convert the time from minutes to minutes and seconds.
- The result from step 2 is in decimal form, but we want to express it as minutes and seconds.
- Multiply the decimal value by 60 to convert it to seconds.
- Therefore, the time required is 0.08 * 60 = 4.8 seconds.
So, the runner must run approximately 0.08 minutes or 4.8 seconds to cover a distance of 10.0 kilometers at a pace of 7.5 meters per hour.