SOLUTION: Jerry spent 2.5 hr. biking up Mount Lowe, rested at the top for 30 min, and biked down 1.5 hr. How far did he bike if his rate od ascent was 3 km/hr less than his rate of descent?

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Question 514903: Jerry spent 2.5 hr. biking up Mount Lowe, rested at the top for 30 min, and biked down 1.5 hr. How far did he bike if his rate od ascent was 3 km/hr less than his rate of descent?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Going up:
+d+=+r%2A2.5+
going down:
+d+=+%28+r+%2B+3+%29%2A1.5+
By substitution:
+2.5r+=+%28+r+%2B+3+%29%2A1.5+
+2.5r+=+1.5r+%2B+4.5+
+r+=+4.5+
So,
+d+=+2.5%2A4.5+
+d+=+11.25+
check:
+d+=+%28+r+%2B+3+%29%2A1.5+
+d+=+7.5%2A1.5+
+d+=+11.25+
He biked 2d ascending and descending
or 22.5 km