Answer:
He will cover 120 miles.
Step-by-step 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:
Step-by-step 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
[tex]time=\frac{distance}{speed}[/tex]
[tex]4=\frac{d}{s}[/tex]
[tex]s=\frac{d}{4}[/tex] .......................... equation 1
If the speed is 45 faster, time is 2.5 times less, means
[tex]\frac{4}{2.5}=\frac{d}{s+45}[/tex]
[tex]1.6=\frac{d}{s+45}[/tex]
Cross multiply
[tex]1.6(s+45)=d[/tex]
Plugging the value of s from equation 1
[tex]1.6(\frac{d}{4}+45)=d[/tex]
[tex]1.6*\frac{d}{4}+1.6*45=d[/tex]
[tex]0.4d+72=d[/tex]
[tex]0.6d=72[/tex]
[tex]d=\frac{72}{0.6}[/tex]
[tex]d=120[/tex]
So the distance is 120 miles. : Answer
Hope it will help :)
