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?

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 

Ron, 14 miles; Joe, 30 miles

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