SOLUTION: Penny's bicycle trip from Colorado Springs to Pikes Peak took 1.5 hours longer than the return trip to Colorado Springs. If she averaged 6 mph on the way to Pikes Peak and 15 mph f

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Question 554522: Penny's bicycle trip from Colorado Springs to Pikes Peak took 1.5 hours longer than the return trip to Colorado Springs. If she averaged 6 mph on the way to Pikes Peak and 15 mph for the return trip, then how long (in hours) was the ride from Colorado Springs to Pikes Peak?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time for return trip in hours
Let +d+ = distance from C.S. to P.P
given:
1st trip:
+d+=+6%2A%28+t+%2B+1.5+%29+
return trip:
+d+=+15t+
-----------
By substitution:
+6%2A%28+t+%2B+1.5%29+=+15t+
+6t+%2B+9+=+15t+
+9t+=+9+
+t+=+1+
+t+%2B+1.5+=+2.5+
The ride from C.S. to P.P took 2.5 hours
check answer:
+d+=+6%2A%28+t+%2B+1.5+%29+
+d+=+6%2A2.5+
+d+=+15+ miles
and
+d+=+15t+
+d+=+15%2A1+
+d+=+15+ miles
OK