Suppose a sports runner completes a 10K (10.0km) road race in 42 minutes and 27 seconds. What is the runner's average speed in miles per hour?
Hmmmm. Chemistry?
time=42'27" or 42 and 27/60 min or 42.45 min= 42.45/60 hr =.7075 hr
distance 10Km*1mile/1.609km =9.43 mi
check those. speed=distance/time
To find the runner's average speed in miles per hour, we need to convert the distance and time.
Step 1: Convert 10 kilometers to miles.
1 kilometer is approximately 0.621371 miles.
So, 10 kilometers is approximately 6.21371 miles.
Step 2: Convert 42 minutes and 27 seconds to hours.
There are 60 minutes in an hour, so
42 minutes is approximately 0.7 hours (42 ÷ 60).
27 seconds is approximately 0.0083 hours (27 ÷ 3600).
Step 3: Calculate the total time in hours.
Total time = 0.7 hours + 0.0083 hours = 0.7083 hours.
Step 4: Calculate the average speed in miles per hour.
Average speed = Distance ÷ Time = 6.21371 miles ÷ 0.7083 hours ≈ 8.787 miles per hour.
So, the runner's average speed is approximately 8.787 miles per hour.
To calculate the runner's average speed in miles per hour, we need to convert the distance from kilometers to miles and the time from minutes and seconds to hours.
First, let's convert the distance from kilometers to miles.
We know that 1 kilometer is approximately equal to 0.62137 miles. Therefore, to convert 10 kilometers to miles, we can multiply 10 by 0.62137, which equals 6.2137 miles.
Next, let's convert the time from minutes and seconds to hours.
There are 60 minutes in an hour, and since there are 60 seconds in a minute, we can convert the time to hours by dividing the total time (42 minutes and 27 seconds) by 60.
42 minutes / 60 = 0.7 hours
27 seconds / 60 = 0.45 minutes / 60 ≈ 0.0075 hours
Therefore, the total time is approximately 0.7 + 0.0075 = 0.7075 hours.
Now, we can calculate the average speed by dividing the distance (in miles) by the time (in hours).
Average speed = Distance / Time
Average speed = 6.2137 miles / 0.7075 hours
Calculating this division will give us the average speed of the runner in miles per hour.