Two trains are 330 miles apart and their speeds differ by 20

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.

Solution

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