Question

A long distance runner starts at the beginning of a trail and runs at a rate of 4 miles per hour. Two hours later, a cyclist starts at the beginning of the trail and travels at a rate of
14 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner?

Answer 1

So I know the basics, but I just need help walking through these one last time. Thank you to everyone who has helped me. Seriously!

Answer 2

okay so lets start with the runner's distance

Answer 3

what is the runners distance as a function of time

Answer 4

D= 4x for equation 1 and D= 14(x+2) for equation 2?

Answer 5

close

Answer 6

Would it be 14(x-2)?

Answer 7

yes

Answer 8

can i suggest something

Answer 9

Ok!! That makes a ton more sense.

So, 4x=14x-28

Answer 10

yes

Answer 11

2.8 would be the distance?

Answer 12

something doesnt make sense

Answer 13

So my answer would be 11.2?

Answer 14

14t=4t+8

Answer 15

How did you get that?

Answer 16

okay so after 2 hours, the runner is at 8 miles right

Answer 17

we willl consider this time the starting point of time