an amtrak trainand a car leave new york city at 2 PM and head for a town 300 miles away. the rate of the amtrak train is 1 1/2 times the rate of the car. the train arrives 2h ahead of the car, find the rate of the car

2 answers

let the speed of the train be x miles/hour
then the speed of the car is 1.5x miles/hour.
Time taken by train = 300/x hours
Time taken by the car = 300/1.5 hours

So 300/x - 300/1.5x = 2

solve for x

(I got x=50, so car = 50, train = 75)
ur right