SOLUTION: The speed of train A is 8 mph slower than the speed of train B. Train A travels 200 miles in the same time it takes train B to travel 240 miles. Find the speed of each train???

Question 346100: The speed of train A is 8 mph slower than the speed of train B. Train A travels 200 miles in the same time it takes train B to travel 240 miles. Find the speed of each train???
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Equation 1) a = b-8
Equation 2) at = 200
Equation 3) bt = 240
Equation 2) t = 200/a
Equation 3) t = 240/b
Combine equation 2 & 3:
200/a=240/b
200b = 240a
b = 240a/200
b = 6a/5

Substitute into Equation 1:
a = 6a/5 � 8
8 = a/5
a = 40 mph
b -8 = 40 mph
b = 48 mph
Answer
Train A is moving at 40 mph.
Train B is moving at 48 mph.

RELATED QUESTIONS
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 8 mph slower than the speed of train b. Train a travels 220 miles (answered by checkley77)

the speed of train a is 6 mph slower than the speed of train b.Train A travels 200 miles (answered by ankor@dixie-net.com)

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 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)

The speed of train A is 10 mph slower than the speed of train B. Train A travels 190 (answered by josgarithmetic,greenestamps)