SOLUTION: Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour while the other travels at 75 miles per hou

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Question 836674: Two trains leave stations 374 miles apart at the same time and travel toward each other. One train travels at
95
miles per hour while the other travels at
75
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
They are traveling toward eachother so their combined rates added are how fast they approach eachother.

Let d = distance between them at start
F = fast rate train
S = slow rate train
Let x = unknown time when they meet, variable to solve.

The two trains meet when the sum of their distances traveled equals d. A data table might help:

_______________speed__________time__________distance
Fast Train_____F______________x_____________Fx
Slow Train_____S______________x_____________Sx
Total________________________________________d

Equation formable, highlight%28Fx%2BSx=d%29
%28F%2BS%29x=d
highlight%28highlight%28x=d%2F%28F%2BS%29%29%29
That is the formula after solving symbolically.

Substitute your known or given values to find the value for x.