Problema Solution
The lead bike is traveling at a rate of 12 mph, the next bike is 3mph behind and is traveling at a rate of 18mph how long will it take the second bike to catch up to the lead bike?
Answer provided by our tutors
v1 = 12 mph the rate of the first bike
v2 = 18 mph the rate of the second bike
t = the time of the travel
3 mi = the distance between the bikes
since distance = speed*time we have:
v1*t + 3 = v2*t
12t + 3 = 18t
........
click here to see the equation solved for t
........
t = 0.5 hr
t = 30 min
The second bike will catch up to the lead bike in 30 minutes.