SOLUTION: Can you please show me the steps to do this problem? A freight train traveled to the repair yards and back. IT took one hour less time to get there than it did to get back. The

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Question 557992: Can you please show me the steps to do this problem?
A freight train traveled to the repair yards and back. IT took one hour less time to get there than it did to get back. The average speed on the trip there was 54 mph. The average speed on the way back was 45 mph. How many hours did the trip there take?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance to the repair yard in miles
Let +t+ = the time to get back in hours
given:
Going to repair yard:
(1) +d+=+54%2A%28+t+-+1+%29+
Coming back:
(2) +d+=+45t+
-----------
Substitute (2) into (1)
(1) +45t+=+54%2A%28+t+-+1+%29+
(1) +45t+=+54t+-+54+
(1) +54t+-+45t+=+54+
(1) +9t+=+54+
(1) +t+=+6+
+t+-+1+=+5+
The trip to the repair yard took 5 hrs
check answer:
(1) +d+=+54%2A%28+t+-+1+%29+
(1) +d+=+54%2A5+
(1) +d+=+270+
and
(2) +d+=+45t+
(2) +d+=+45%2A6+
(2) +d+=+270+
OK