You are trying to decide between two job offers. you find the best option is to take the highway to work. that route is
calculated for driving at an average speed of 65 miles per hour. you would like to keep your morning commute down to less than 30
minutes. what is the farthest distance you can travel to work within the allowable time?

The farthest distance would be 32.5 miles

Step-by-step explanation:

Given,

Speed = 65 miles per hour,

If t represents the time ( in hours ) taken in travelling,

Since, time has to commute down less than 30 minutes,

Also, 1 hour = 60 minutes,

Thus,

i.e. the highest time taken = 1/2 hours,

We know that,

Distance = speed × time,

∵ Distance ∝ time,

⇒ Distance will farthest for largest time taken,

Hence, the farthest distance = = 32.5 km.

32.5 miles

Step-by-step explanation:

The average speed is 65 miles per hour.

You want to keep your commute within 30 minutes, which is HALF AN HOUR.

THus, if you can go 65 miles AN HOUR, in HALF AN HOUR, you can go max, HALF OF THAT!!

So,

Thus, you can go 32.5 miles, max