SOLUTION: The speed of train A is 14mph slower than the speed of train B. Train A travels 190mi in the same time it takes train B to travel 260mi. Finf the speed of each train

Algebra.Com
Question 391974: The speed of train A is 14mph slower than the speed of train B. Train A travels 190mi in the same time it takes train B to travel 260mi. Finf the speed of each train
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
For train A:

For train B:

-------------
given:
mi
mi
hr
(since these times are equal, I'll call them both )
--------------
I'll rewrite the equations:
(1)
(2)
This is 2 equations and 2 unknowns, so it's solvable
(1)
(2)
Substitute (2) into (1):
(1)

hrs
Plug this back into (2):

mi/hr
mi/hr
Train A's speed is 38 mi/hr
Train B's speed is 52 mi/hr

RELATED QUESTIONS

The speed of train A is 14mph slower than the speed of train B. Train A travels 190miles... (answered by edjones)
the speed of train A is 14mph slower than the speed of train B. train A travels 200 miles (answered by checkley77)
The speed of train A is 16 mph slower than the speed of train B. Train A travels 220... (answered by gonzo)
The speed of train A is 12 mph slower than the speed of train B. Train A travels 190... (answered by stanbon)
The speed of train a is 8 mph slower than the speed of train b. Train a travels 220 miles (answered by checkley77)
The speed of train A is 8 mph slower than the speed of train B. Train A travels 200 miles (answered by nyc_function)
The speed of train A is 18 mph slower than the speed of train B. Train A travels 200... (answered by jojo14344)
The speed of train A is 20 mph slower than the speed of train B. Train A travels 190... (answered by fcabanski)
The speed of train A is 12 mph slower than the speed of train B. Train A travels 230... (answered by hamsanash1981@gmail.com)