Question 504042: A train starts from Peoria at 2 p.m. and heads for Reedley, 750 miles away. At the same time, a train leaves Reedley and heads for Peoria at 85 miles per hr. If the trains meet at 5 p.m., what is the rate of the first train?
Answer by Edwin McCravy(20081) (Show Source):
You can put this solution on YOUR website! A train starts from Peoria at 2 p.m. and heads for Reedley, 750 miles away. At the same time, a train leaves Reedley and heads for Peoria at 85 miles per hr. If the trains meet at 5 p.m., what is the rate of the first train?
Make this chart:
Distance Rate Time
First train
Second train
Let the answer be x, the rate of the first train,
and fill in the rates of both trains
Distance Rate Time
First train x
Second train 85
Both trains started at 2 p.m. and met at 5 p.m.,
so both trains' times are 3 hours, so fill in 3
for the times for both trains:
Distance Rate Time
First train x 3
Second train 85 3
Now use the formula: distance = rate × time to
fill in the distances:
Distance Rate Time
First train 3x x 3
Second train 255 85 3
The equation comes from
3x + 255 = 750
Add -255 to both sides:
3x = 495
Divide both sides by 3
x = 165
Wow! 165 miles per hr.!! That's a fast train!
It's a wonder at that speed it didn't leave the
tracks!
Edwin
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