Question

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Adam should cover to get to the park?

Answer 1

He will cover 120 miles.

Explanation:

K so provided is a picture of my work. I drew a unit rate table thing. Then off the side i calculated how fast he would need to go in 1 hour. So i could add it correctly. I hope this makes sense, if it doesnt just ask me lol

Answer 2

Explanation:

Alright, lets get started.

Suppose the distance to the park is d.

Suppose the speed is s.

Adam takes 4 hours to drive to park.

Applying speed, time , distance formula

`time=(distance)/(speed)`

`4=(d)/(s)`

`s=(d)/(4)` .......................... equation 1

If the speed is 45 faster, time is 2.5 times less, means

`(4)/(2.5)=(d)/(s+45)`

`1.6=(d)/(s+45)`

Cross multiply

`1.6(s+45)=d`

Plugging the value of s from equation 1

`1.6((d)/(4)+45)=d`

`1.6*(d)/(4)+1.6*45=d`

`0.4d+72=d`

`0.6d=72`

`d=(72)/(0.6)`

`d=120`

So the distance is 120 miles. : Answer

Hope it will help :)