SOLUTION: Two joggers set out at the same time from their homes 84 miles apart. They agree to meet at a point somewhere in between in four hours. If the rate of one is 3mph faster than the r

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Question 1159721: Two joggers set out at the same time from their homes 84 miles apart. They agree to meet at a point somewhere in between in four hours. If the rate of one is 3mph faster than the rate of the other.

what is the rate of each ?
Found 3 solutions by Boreal, MathLover1, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
slower is x mph
faster is x+3 mph
their combined speed in 4 hours is 4(2x+3)=8x+12 miles=84 miles total
8x=72
x=9 mph
x+3=12 mph

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

given:



Let = the speed of the slower jogger in
= the speed of the faster jogger in
Let = the distance the slower jogger has to run until they meet
= the distance the faster jogger runs

Equation for slower jogger:
(1)
Equation for faster jogger:
(2)

Substitute (1) into (2)





and

is the speed of the slower jogger
is the speed of the faster jogger
then distance that slower jogger runs to meet faster jogger is
-> distance faster jogger runs to meet slower jogger
the sum of distances is


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

Two joggers set out at the same time from their homes 84 miles apart. They agree to meet at a point somewhere in between in four hours. If the rate of one is 3mph faster than the rate of the other.
Let speed of slower jogger be S

Then speed of faster jogger = S + 3

We then get the following DISTANCE equation: 4S + 4(S + 3) = 84

4S + 4S + 12 = 84

8S = 72

Speed of slower jogger, or 

You should be able to find the faster jogger's speed. 

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