Posted by **MB** on Monday, April 19, 2010 at 3:21pm.

two trains start from towns 208 miles apart and travel towards each other on parallel tracks. They pass each other 1.6 hours later. If one travels 10 mph faster than the other find the speed of each train?

- math -
**MathMate**, Monday, April 19, 2010 at 6:58pm
Sum of speeds = 208 miles/1.6hr=130 mph

Difference of speeds = 10 mph

Faster train = (sum+difference)/2 mph

Slower train = (sum-difference)/2 mph

Explanation:

let f=faster train, s=slower train

S=sum, D=difference, then

S=f+s

D=f-s

Add:

(S+D)=f+s+f-s=2f

therefore f=(S+D)/2

Simlarly, by subtracting,

S-D = f+s - (f-s) = 2s

therefore s=(S-D)/2

## Answer This Question

## Related Questions

- Math - Two trains are both traveling at a constant speed toward each other on ...
- math - Two trains depart at the same time from the same station and travel in ...
- math - Two trains depart at the same time from the same station and travel in ...
- math - Supppose two trains leave Holbrook, Arizona, at the same time, traveling ...
- math - A northbound train and a southbound train meet each other on parallel ...
- Math - An eastbound train and a westbound train meet each other on parallel ...
- Math - Can you please show me how choose the right answer and how to get the ...
- math - Two trains heading toward each other are 400 miles apart. One train ...
- Maths - Two trains, Aand B , leave a train station at the same time but in ...
- MATH!!!! PLEASE HELP - An eastbound train and a westbound train meet each other ...

More Related Questions