SOLUTION: Train A has a speed 15 miles per hour greater than that of train B. If train A travels 270miles in the same times train B travels 240 miles, what are the speeds of the two trains

Algebra ->  Equations -> SOLUTION: Train A has a speed 15 miles per hour greater than that of train B. If train A travels 270miles in the same times train B travels 240 miles, what are the speeds of the two trains      Log On


   

Question 1154800: Train A has a speed 15 miles per hour greater than that of train B. If train A travels 270miles in the same times train B travels
240 miles, what are the speeds of the two trains?
Train A was traveling at ( ) miles an hour where train B was traveling at ( ) miles per hour???
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
rate * time = distance
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Let the rate of train B be r, then rate of train A is r+15
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(1) (r+15) * t = 270
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(2) r * t = 240
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There are two equations in two unknowns
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solve equation 2 for t
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t = 240/r
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substitute for t in equation 1
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(r+15) * 240/r = 270
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240r +3600 = 270r
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30r = 3600
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r = 120
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Train B travels at 120 miles per hour
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Train A travels at 120 +15 = 135 miles per hour
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Train A was traveling at 135 miles an hour where train B was traveling at 120 miles per hour
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