SOLUTION: train a has a speed 25 miles per hour greater than that out of train b if train a travels 330 miles in the same time train b trsvels 280 miles what are the speeds of the two trains

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: train a has a speed 25 miles per hour greater than that out of train b if train a travels 330 miles in the same time train b trsvels 280 miles what are the speeds of the two trains      Log On


   

Question 1191441: train a has a speed 25 miles per hour greater than that out of train b if train a travels 330 miles in the same time train b trsvels 280 miles what are the speeds of the two trains


Found 3 solutions by josgarithmetic, greenestamps, Alan3354:
Answer by josgarithmetic(39620) About Me  (Show Source):
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%28RATE%29%28TIME%29=DISTANCE 
TRAIN          SPEED         TIME       DISTANCE
  A            r+25           x          330
  B            r              x          280

330%2F%28r%2B25%29=280%2Fr-------------according to the description.

33%2F%28r%2B25%29=28%2Fr

33r=28%28r%2B25%29
33r=28r%2B%2828%29%2825%29
5r=%2828%29%2825%29
r=28%2A5
r=140-----------Train B speed
Speed train A is 165.

Answer by greenestamps(13200) About Me  (Show Source):
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The times are the same; the difference in distance of the two trains is 330-280=50 miles, and the difference in their speeds is 25 mph. That means the number of hours each train travels is 50/25=2.

Train a traveling 280 miles in 2 hours means its speed is 140mph; train b traveling 330 miles in 2 hours means its speed is 165mph.

ANSWERS (mathematically -- but not realistically): train a 140mph; train b 165mph

Answer by Alan3354(69443) About Me  (Show Source):
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I rode the TGV train from Paris to Gent at 200 mi/hr.