SOLUTION: 1. Two trains leave a city, traveling in opposite directions. One train is 20 mph faster than the second. After 5 hours the trains are 800 miles apart. What is the speed of each tr
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Question 649316: 1. Two trains leave a city, traveling in opposite directions. One train is 20 mph faster than the second. After 5 hours the trains are 800 miles apart. What is the speed of each train? can u tell me the formula to solve this.. and how to do it without distance.. been trying for hours and I have a final tommorow!!
Answer by MathTherapy(10558) (Show Source): You can put this solution on YOUR website!
1. Two trains leave a city, traveling in opposite directions. One train is 20 mph faster than the second. After 5 hours the trains are 800 miles apart. What is the speed of each train? can u tell me the formula to solve this.. and how to do it without distance.. been trying for hours and I have a final tommorow!!
Let the speed of the slower train be S
Then the speed of the faster train = S + 20
Distance traveled by slower train, plus distance traveled by faster train = distance apart, OR
5S + 5(S + 20) = 800
5S + 5S + 100 = 800
10S = 800 - 100
10S = 700
S, or speed of slower train = , or mph
Speed of faster train = 70 + 20, or mph
OR
Time * sum of speeds = distance apart
5(S + S + 20) = 800
2S + 20 = 160
2S = 140 ----- S = , or 70 mph (slower)
70 + 20, or 90 mph (faster)
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