Question

An Olympic runner competing in a long-distance event finishes with a time of 2 hours, 45 minutes, and 35 seconds. The event has a distance of 27.3 miles. What is the average speed of the runner in kilometers per hour?

Answer 1

To find the average speed of the runner in kilometers per hour, convert the time to hours and the distance to kilometers, then divide the distance by the time to get an average speed of approximately 15.932 km/h.

Step-by-step explanation:

The calculation of a runner’s average speed in a long-distance event requires converting the given time and distance into a consistent set of units and then applying the formula for average speed. First, we convert the runner's time into hours and the distance into kilometers. The runner finished with a time of 2 hours, 45 minutes, and 35 seconds, which translates to 2.7597 hours when converted into hours entirely. The distance covered was 27.3 miles, which converts to approximately 43.941 kilometers (using the conversion factor where 1 mile = 1.60934 kilometers).

To find the average speed, we divide the total distance in kilometers by the total time in hours:

Average speed = Total distance / Total time

This results in an average speed of approximately 15.932 kilometers per hour (km/h).

Answer 2

Average speed of Olympic runner will be 23.08 km/hr

Step-by-step explanation:

We have given distance d = 27.3 miles

We know that 1 mile = 1.6 km

So 27.3 mile =
`=27.3* 1.6=43.68km`

Given time = 2 hour 45 minutes and 35 sec

We know that 1 hour = 60 minutes

So 45 minutes
`=(45)/(60)=0.75hour`

We also know that 1 hour = 3600 sec

So 1 sec
`=(1)/(3600)=2.777* 10^(-4)hour`

So total time t =
`=2+0.75+0.000277=2.750277hour`

We know that speed
`=(distance)/(time )=(63.48)/(2.750277)=23.08km/hour`