# Algebra

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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

• Algebra -

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)

• Algebra -

ur right

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