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(52790)   (Show Source):
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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