SOLUTION: Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph where wil

Question 1041043: Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph where will they cross paths? Write a system of inequalities to represent the situation.

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph where will they cross paths?
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Jogger #1 DATA:
rate = 4 mph ; time = t hrs; distance = 4t miles
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Jogger #2 DATA:
rate = 6 mph ; time = t hrs ; distance = 6t miles
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Equation:
4t + 6t = 8 miles
10t = 6 miles
time = 0.6 hrs = 0.6*60 min = 36 minutes
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Where will they cross paths?
From Jogger #1 start point:: (36/60)4 = 36/15 = 2.4 miles
From Jogger #2 start point:: 8-2.4 = 5.6 miles
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Cheers,
Stan H.
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Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph, and the other is running at a rate of 6 mph where will they cross paths? Write a system of inequalities to represent the situation.

Slower jogger (4 mph) meets
Faster jogger (6 mph) meets
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