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?

Question

25-11-2016
Mathematics

contestada

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?

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Аноним Аноним · Answer 1 · 2016-11-27T00:15:36+01:00

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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