Posted by **Samantha** on Sunday, November 11, 2012 at 7:55pm.

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 -
**Mary**, Sunday, November 11, 2012 at 8:25pm
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).

## Answer this Question

## Related Questions

- Algebra: 8th Grade; Equation Check - 1) A private airplane leaves an airport and...
- algebra - a passenger train's speed is 60mi/h, and a freight train's speed is ...
- algebra - A passenger train's speed is 60 mi/h, and a freight train's speed is ...
- algebra 1b - the speed of a passenger train is 18mph faster than the speed of a ...
- MATH Algebra - The speed of a passenger train is 6 mph faster than the speed of ...
- algebra - the speed of a passenger train is 20mph faster than the speed of a ...
- physics - An engineer of a passenger train traveling at 25.0 m/s sights a ...
- Physics - the engineer of a passenger train traveling at 25.0 m/s sights a ...
- algebra - The speed of a passenger train is 16 mph faster than the speed of a ...
- Algebra - The speed of a passenger train is 20 mph faster than the speed of a ...