Joe Fleet can jog at the rate of 8 mph. Ron Pack can hike carrying camping equipment at the rate of 4 mph. They leave from opposite ends of a 44-mile trail at the same time. How far does each travel if Ron has 15 minutes to set up camp before Joe arrives?

Respuesta :

The solution to the problem is as follows:
Joe's travel time in hours (x): 

4(x - 0.25) + 8x = 44 

4x - 1 + 8x = 44 
12x = 45 
x = 3.75 

Distance covered by Ron: 

= 4(3.75 - 0.25) 

= 4(3.5) 
= 14 

Distance covered by Joe: 

= 8(3.75) 

= 30 

Answer: Ron, 14 miles; Joe, 30 miles

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