Problema Solution

One one of your friends is heading north and the other is heading south. If their destinations are 1029 miles apart and one car is traveling 45mph and the other 53 mph. How many hours before the two cars pass eachother

Answer provided by our tutors

distance = speed * time

time = distance/speed


let 'x' represent the distance driven at 45mph, then '1029-x' represents the distance driven at 53mph


we assume they left at the same time and therefore when they meet they have both driven the same amount of time, so we set their distance/speed expressions equal to each other:


x/45 = (1029-x)/53

solving for 'x' we have x=472.5


They will meet after driving 472.5 miles at 45mph:

472.5/45 = 10.5


They will meet after driving 10.5 hours