SOLUTION: the speed of train a is 6 mph slower than the speed of train b.Train A travels 200 miles in the same time it takes train b to travel 230 miles. What is the speed of each train?

Question 424302: the speed of train a is 6 mph slower than the speed of train b.Train A travels 200 miles in the same time it takes train b to travel 230 miles. What is the speed of each train?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the speed of train a is 6 mph slower than the speed of train b.
Train A travels 200 miles in the same time it takes train b to travel 230 miles.
What is the speed of each train?
:
Let s = speed of the slower train (a)
then
(s+6) = speed of the faster train (b)
:
Write time equation; time = dist/speed
:
Fast train time = slow train time
=
Cross multiply
230s = 200(s+6)
230s = 200s + 1200
230s - 200s = 1200
30s = 1200
s =
s = 40 mph is the speed of a, the slower train
then
40 + 6 = 46 mph is the speed of b
:
:
You can confirm this by finding the travel time of each train, should be equal
RELATED QUESTIONS
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)

Train X is 6 mph slower than the speed of train B. Train A travels 230 miles in the same... (answered by josmiceli)

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 6 mph slower than the speed of train B. Train A travels 210 miles (answered by ankor@dixie-net.com)

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 20 mph slower than the speed of train B. Train A travels 190... (answered by fcabanski)