Using Unit Rates to convert

Measurements continued

5

Jason runs 440 y

Jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take

him to run a mile? (1 mile = 1,760 yards)

es of

Respuesta :

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

[tex]Speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{440}{75}\\ \\\\Speed = 5.86 yards/second[/tex]

From the formula of speed, time is given as:

[tex]time = \frac{distance}{speed}[/tex]

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

[tex]time = \frac{1760}{5.86} \\\\\\time = 300.34 secs[/tex]

Converting this time to minutes yields:

60 seconds = 1 minute

300.34 equals:

[tex]\frac{300.34}{60} = 5.0 minutes[/tex]

It takes Jason 5 minutes to run 1 mile.