Question

raj leaves his house on his bicycle at an average speed of 10 miles per hour. his friend, ruth, leaves 1/2 hour later, following the same route and averaging 14 miles per hour. at what distance, in miles, from raj's house will ruth overtake him?

Answer 1

First set up equation for Raj, which is 10x + .5, .5 is the y-intercept because he got a head start of .5 hours
Ruth, 14x
10x + .5 = 14x
        - .5    -.5
10x          = 14x - .5
-14x           -14x
-4x  = -.5
/-4       /-4
   x = .125 miles
So she will overtake him at more than .125 miles
I hop this is right, and hope this helps