SOLUTION: a cyclist bikes at a constant speed for 19 miles.He then returns home at the same speed but takes a different route.His return trip takes one hour longer and is 24 miles. Find the

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Question 961772: a cyclist bikes at a constant speed for 19 miles.He then returns home at the same speed but takes a different route.His return trip takes one hour longer and is 24 miles. Find the speed.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1st trip:
+t+=+d%2Fr+
+t+=+19%2Fr+
---------------
2nd trip:
+t+%2B+1+=+24%2Fr+
+t+=+24%2Fr+-+1+
------------------
By substitution:
+19%2Fr+=+24%2Fr++-+1+
+19+=+24+-+r+
+r+=+24+-+19+
+r+=+5+
The speed is 5 mi/hr
--------------------
check:
1st trip:
+d+=+r%2At+
+19+=+5%2At+
+t+=+19%2F5+
+t+=+3.8+
and
+t+%2B+1+=+24%2Fr+
+t+=+24%2F5+-+1+
+t+=+24%2F5+-+5%2F5+
+t+=+19%2F5+
+t+=+3.8+
OK