SOLUTION: An express train travels 90 kilometers per hour from smallville to megatown. A local train takes 2.5 hours longer to travel thensame distance at 50 kilometers per hour. how far ap
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Question 116729This question is from textbook algebra1
: An express train travels 90 kilometers per hour from smallville to megatown. A local train takes 2.5 hours longer to travel thensame distance at 50 kilometers per hour. how far apart are Smallville and Megatowm
This question is from textbook algebra1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
An express train travels 90 kilometers per hour from smallville to megatown. A local train takes 2.5 hours longer to travel then same distance at 50 kilometers per hour. how far apart are Smallville and Megatown.
:
Let d = distance from S to M
:
Write a time equation, Time = Distance/speed:
:
Local train time - Express train time = 2.5 hrs
- = 2.5
:
Multiply equation by 450 to get rid of the denominators
450* - 450* = 450(2.5)
:
Cancel the denominators, we have:
9d - 5d = 1125
:
4d = 1125
:
d = 1125/4
:
d = 281.25 km from S to M
:
:
Check solution by finding the times for each train:
Local: 281.25/50 = 5.625 hrs
Exprs: 281.25/90 = 3.125 hrs
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Time difference is: 2.5 hrs; confirms our solution
:
:
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