SOLUTION: A passenger train travels 100 mph faster than a car. In the time it takes the car to travel 140 miles, the train can travel 340 miles. Find the speed of each.

Question 1024620: A passenger train travels 100 mph faster than a car. In the time it takes the car to travel 140 miles, the train can travel 340 miles. Find the speed of each.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the rate of the car, r.
Then the rate of the train is r+100.
Since rt=d, we know time = distance over rate, or t = d/r.
And since the times are equal, we can write

Now cross-multiply and solve...
340r = 140(r+100)
340r = 140r + 14000
200r = 14000
r = 70 miles per hour
r+100 = 170 miles per hour
RELATED QUESTIONS
a passenger train travels 100 mph faster than a car. In the time it take the car to... (answered by ikleyn)

Passenger train is 18 mph faster than the speed of a freight train. Train travels at 330... (answered by mananth)

The speed of a passenger train is 20 mph faster than the speed of a frieght train. The... (answered by solver91311)

The speed of a passenger train is 12 mph faster than the speed of a freight train. The... (answered by LarsJongste)

The speed of a passenger train 20 mph faster than the speed of a freight train. The... (answered by Fombitz)

A bullet train travels 30 mph faster than a passenger train, and it takes the bullet... (answered by mananth)

A passenger train travels 392 miles in the same time it takes a freight train to travel... (answered by josmiceli)

The speed of a passenger train is 12 mph faster than the speed of a freight train. The... (answered by josmiceli)

A train can travel 280 miles in the same time that it takes a car to travel 140 miles. If (answered by ewatrrr)