A 10 kilometer race is about 6.2 miles long. Teresa completes the race in 58 minutes. What is her average time per mile? Give your answer in minutes and seconds.
For the 10 K race in 58 minutes
the runner would take 5.8 minutes per km
or
5 minutes and 48 seconds to run 1 km
The equivalent race of 6.2 miles
would have a time of 58/6.2 minutes per mile
or 9.3548.. minutes per mile
= 9 minutes, 21 seconds
(A real runner doing a 10 K race would not think of miles, he/she would be familiar with the metric system and know not to convert.)
To find Teresa's average time per mile, we need to convert the 10 kilometer distance to miles.
1 kilometer is approximately 0.621371 miles. So, 10 kilometers is equal to 10 * 0.621371 = 6.21371 miles (rounded to 5 decimal places).
Next, we divide the total time Teresa took to complete the race, which is 58 minutes, by the distance in miles she covered (6.21371 miles).
58 minutes / 6.21371 miles = 9.32 minutes/mile (rounded to 2 decimal places).
Now, to convert the decimals to seconds, we multiply 0.32 (the decimal part of 9.32 minutes) by 60 (60 seconds in one minute).
0.32 * 60 = 19.2 seconds (rounded to the nearest second).
Therefore, Teresa's average time per mile is 9 minutes and 19 seconds.
To find Teresa's average time per mile, we can divide the total time by the total distance in miles.
First, let's convert the 10 kilometer race to miles. We know that 1 kilometer is approximately equal to 0.621 miles.
So, 10 kilometers is approximately equal to 10 * 0.621 = 6.21 miles.
Next, we divide the total time of 58 minutes by the total distance of 6.21 miles.
58 minutes / 6.21 miles = 9.34 minutes/mile (rounded to two decimal places).
To convert this to minutes and seconds, we can separate the decimal part from the whole number.
The whole number part, 9, represents the minutes, and the decimal part, 0.34, represents the seconds.
To convert the decimal part to seconds, we multiply it by 60.
0.34 * 60 = 20.4 seconds (rounded to the nearest whole second).
So, Teresa's average time per mile is 9 minutes and 20 seconds.