SOLUTION: A train traveling between 2 towns arrives 9 minutes late when traveling at 36 mph. When it travels at 27 mph the train arrives 39 minutes late. How many miles are there between t

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Question 252538: A train traveling between 2 towns arrives 9 minutes late when traveling at 36
mph. When it travels at 27 mph the train arrives 39 minutes late. How many
miles are there between the two towns?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A train traveling between 2 towns arrives 9 minutes late when traveling at 36
mph. When it travels at 27 mph the train arrives 39 minutes late. How many
miles are there between the two towns?
----------------
Fast Rate DATA:
rate = 36 mph ; distance = x miles ; time = d/r = x/36 hrs
---
Slow Rate DATA:
rate = 27 mph ; distance = x miles ; time = d/r = x/27 hrs
--------------------------
Equation:
slow time - fast time = (1/2) hr
(x/27) - (x/36) = 1/2
(36x - 27x)/[27*36) = 1/2
9x = (27*36)/2
x = (27*2)
x = 54 miles
Distance between the towns is 54 miles.
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Cheers,
Stan H.