SOLUTION: two friends go riding on the same trail in the dame direction one horse a travels at 8 miles per hour while horse b travels at a slower pace after 2 hours the are 4 miles apart fi

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Question 799640: two friends go riding on the same trail in the dame direction one horse a travels at 8 miles per hour while horse b travels at a slower pace after 2 hours the are 4 miles apart find the speed at which horse b is traveling
Found 2 solutions by josmiceli, mananth:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the distance the slower horse travels in 2 hrs
+d+%2B+4+ = the distance the faster horse travels in 2 hrs
Let +r+ = the rate of the slower horse
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Equation for slower horse, which is b:
(1) +d+=+r%2A2+
Equation for faster horse, which is a:
(2) +d+%2B+4+=+8%2A2+
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(2) +d+=+16+-+4+
(2) +d+=+12+
and
(1) +d+=+2r+
(1) +r+=+d%2F2+
(1) +r+=+12%2F2+
(1) +r+=+6+
Horse b is traveling at 6 mi/hr

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let B ride at x mph
A rides at 8 mph
difference in speed = 8-x mph
Time t = 2 hours
distance d = 4 miles
d = rt
4=(8-x)2
4=16-2x
2x=12
x=6 mph speed of B