Question

Using Unit Rates to convert

Answer 1

Answer:

5 minutes

Step-by-step explanation:

To find the number of minutes it takes Jason to run a mile, we have to first find the rate at which he runs.

This is called Jason's speed. It is given as

$Speed = \frac{distance}{time}$

$Speed = \frac{440}{75}\\ \\\\Speed = 5.86 yards/second$

From the formula of speed, time is given as:

$time = \frac{distance}{speed}$

Time taken for Jason to run 1 mile (1760 yards) will therefore be:

$time = \frac{1760}{5.86} \\\\\\time = 300.34 secs$

Converting this time to minutes yields:

60 seconds = 1 minute

300.34 equals:

$\frac{300.34}{60} = 5.0 minutes$

It takes Jason 5 minutes to run 1 mile.