SOLUTION: Train A is 8 mph slower than train B. Train A travels 230 miles in the same time that train B travels in 270 miles. What is the speed of both trains?

Question 381014: Train A is 8 mph slower than train B. Train A travels 230 miles in the same time that train B travels in 270 miles. What is the speed of both trains?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
Let r=train B's speed
Then r-8=train A's speed
230/(r-8) = time it takes train A to travel 230 mi
270/r=time it takes train B to travel 270 mi
Now we are told that the above two times are equal, so:
230/(r-8)=270/r multiply each term by r(r-8)
230r=270(r-8)
230r=270r-2160 subtract 270r from each side
230r-270r=-2160
-40r=-2160
r=54 mph---train B's speed
54-8=46 mph---train A's speed
CK
230/46 = 270/54
5=5
Hope this helps---ptaylor

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