# algebra

posted by .

It takes a passenger train 2 hours less time than it takes a freight train to make the trip from Central City to Clear Creek. The passenger train averages 96mi/hr while the freight train averages 64mi/hr. How far is it from Central City to Clear Creek?

• algebra -

The basic formula is rate x time = distance. Since the freight train and the passenger train are traveling the same distance, the rate x time for each train equals the other. Let t = the time for the freight train. Then t-2 would equal the time for the passenger train, since it took two hours less time to make the trip. Now you have two equations:
passenger train:
r x t = d, 96 x (t-2) = d
freight train:
r x t = d, 64 x t = d
They both equal d, so they equal each other: 96 x (t-2) = 64 x t
Now solve for t and plug in your equation to find d, the distance.

Note: don't forget to distribute the negative sign on 96(t-2).

## Similar Questions

1. ### Algebra: 8th Grade; Equation Check

1) A private airplane leaves an airport and flies due south at 192 km/h. Two hours later a jet leaves at the same airport and flies due south at 960 km/h. When will the jet overtake the plane?
2. ### MATH Algebra

The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train. What is the speed …
3. ### algebra

A passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?
4. ### Physics

the engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of …
5. ### physics

An engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the …
6. ### algebra

a passenger train's speed is 60mi/h, and a freight train's speed is 40mi/h .The passenger train travels the same distance in 1.5 h less time than the freight train. how long does each train take to make the trip?
7. ### algebra

the speed of a passenger train is 20mph faster than the speed of a freight train. the passenger train travels 300 miles in the same time it takes the freight train to travel 200miles find the speed of each train.
8. ### algebra 1b

the speed of a passenger train is 18mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 220 miles. Find the speed of each train passenger train mph …