Find the speed of the train

Question

the speed of train A is 18 mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to travel 280 miles

Answer 1

train A is 18 mph slower than the speed of train B. Train A travels 190 miles in the same time it takes train B to travel 280 miles

 

distance = rate*time  ...  d=rt

Let r = rate of train A

Then rate of train B = r+18

 

Since the time t is same let's set these up as t=d/r

A:  t = 190/r

B:  t = 280/(r+18)

 

190/r = 280/(r+18)

190(r+18) = 280r

 

Finish solving for r to get rate of train A,

Then r+18 will be rate of train B