SOLUTION: Two trains are 330 miles apart, and their speeds differ by 20 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours.

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Question 187224: Two trains are 330 miles apart, and their speeds differ by 20 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two trains are 330 miles apart, and their speeds differ by 20 mph. Find the speed of each train if they are traveling toward each other and will meet in 3 hours.
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1st Train DATA:
distance: x miles ; time = 3 hrs ; rate = x/3 hrs
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2nd Train DATA:
distance: (330-x) miles ; time = 3 hrs ; rate = (330-x)/3= 110-(x/3) hrs
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rate1 - rate2 = 20
(x/3) - [110-(x/3)] = 20
(2/3)x = 20 + 110
(2/3)x = 130
x = (3/2)130
x = 195 miles (distance traveled by 1st Train)
speed of Train1 = 195/3 = 65 mph
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speed of Train2 = (330-195)/3 = 45 mph
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Cheers,
Stan H.
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