SOLUTION: Two​ friends, Jodi Cotton and Abe​ Mantell, go horseback riding on the same trail in the same direction.​ Jodi's horse travels at 4 miles per hour while​ Ab

Algebra ->  Finance -> SOLUTION: Two​ friends, Jodi Cotton and Abe​ Mantell, go horseback riding on the same trail in the same direction.​ Jodi's horse travels at 4 miles per hour while​ Ab      Log On


   

Question 1070252: Two​ friends, Jodi Cotton and Abe​ Mantell, go horseback riding on the same trail in the same direction.​ Jodi's horse travels at 4 miles per hour while​ Abe's horse travels at a slower pace. After 2 hours they are 2 miles apart. Find the speed at which​ Abe's horse is traveling.

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, rate of Abe

The two separate from eachother at 4-r miles per hour.

%284-r%29%2A2=2
4-r=1
-r=1-4
r=3----------Abe's horse's rate

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance Jodi's horse travels in 2 hrs
+d+-+2+ = distance Abe's horse travels in 2 hrs ( slower horse )
Let +s+ = Abe's horse's speed in mi/hr
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Jodi's Equation:
(1) +d+=+4%2A2+
Abe's equation:
(2) +d+-+2+=+s%2A2+
----------------------
(1) +d+=+8+
Plug this result into (2)
(2) +8+-+2+=+2s+
(2) +2s+=+6+
(2) +s+=+3+
Abe's horse's speed is 3 mi/hr
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check:
(2) +d+-+2+=+s%2A2+
(2) +d+-+2+=+3%2A2+
(2) +d+=+2+%2B+6+
(2) +d+=+8+
OK