Two cars are travelling from Toronto to Quebec. Car A left Toronto at 8 a.m. and is moving with an average speed of 70 km/h. Car
B left Toronto at 10 a.m. and its average speed is 90 km/h. How many hours will it take for car B to catch car A? (please show all your work Let, So, Equation and Solution and Therefore Statement)
In order to solve this problem we can write the equation from the distance of each car. Assuming that t = 0 happens when the second car leaves Toronto. When the second car leaves Toronto, the first one is on the road for two hours already, thefeore it travelled a total of:
distance = speed*time = 70*2 = 140
We have:
Car A:
x(t) = 70*t + 140
Car B:
x(t) = 90*t
We now need to find the value of "t" that makes x(t) the same for both cars: