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

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) (Show Source): You can put this solution on YOUR website!
Let = the distance the slower horse travels in 2 hrs
= the distance the faster horse travels in 2 hrs
Let = the rate of the slower horse
--------------
Equation for slower horse, which is b:
(1)
Equation for faster horse, which is a:
(2)
---------------
(2)
(2)
and
(1)
(1)
(1)
(1)
Horse b is traveling at 6 mi/hr

Answer by mananth(16946) (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
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