Question

A motorcycle leaves colorado springs, colorado, traveling north on I25 at an average speed of 47 mph. one hour later, a car leaves colorado springs, traveling south on I-25 at an average speed of 54 mph. How long after the motorcycle leaves will it take until they are 52 miles apart?

Answer 1

let the time driven by 1st bike be t hrs
then the time driven by 2nd bike is t-1 hrs

distance covered by 1st bike = 47t miles
distance covered by 2nd bike = 54(t-1)

47t + 54(t-1) = 52
47t + 54t - 54 = 52
101t = 106
t = 106/101 hrs or appr 1 hr and 3 minutes