SOLUTION: Train A has a speed 25 miles per hour greater than that of train B. If train A travels 240 miles in the same times train B travels 165 miles, what are the speeds of the two trains?

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Question 1156499: Train A has a speed 25 miles per hour greater than that of train B. If train A travels 240 miles in the same times train B travels 165 miles, what are the speeds of the two trains?
Found 3 solutions by ikleyn, MathTherapy, greenestamps:
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.

Let the train A speed be x mph;  then the train B speed is (x-25) mph.


The time equation is


     = ,   or


     = .


Cross multiply and continue step by step


    48*(x-25) = 33x

    48x - 48*25 = 33x

    48x - 33x = 48*25

    15x = 48*25

      x = 16*5 = 80.


ANSWER.   Train A speed is 80 mph.  Train B speed is 80-25 = 55 mph.

Solved.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Train A has a speed 25 miles per hour greater than that of train B. If train A travels 240 miles in the same times train B travels 165 miles, what are the speeds of the two trains?
Let the speed of the faster train be S

Then speed of the slower train = S - 25

We then get the following TIME equation: 

 ------- Factoring out GCF, 15, in numerator

16(S - 25) = 11S ----- Cross-multiplying

16S - 16(25) = 11S

5S = 16(25)

Speed of faster train, or 

Now, subtract 25 from the above to get speed of the slower train! 

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!
 


The difference in speeds is 25mph; in the same amounts of time, the difference in distances is 240-165 = 75 miles.


That means the amount of time is (75 miles)/(25mph) = 3 hours.


And that means the speeds of the two trains are (240 miles)/(3 hours) = 80mph and (165 miles)/(3 hours) = 55 mph.


ANSWERS: 80 and 55mph


 

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