SOLUTION: Diego and Elena are 2 miles apart and begin walking towards each other. Diego walks at a rate of 3.7 miles per hour and Elena walks 4.3 miles per hour. While they are walking, El

Question 1130682: Diego and Elena are 2 miles apart and begin walking towards each other. Diego walks at a rate of 3.7 miles per hour and Elena walks 4.3 miles per hour. While they are walking, Elena's dog run back and forth between the two of them at a rate of 6 miles per hour. Assuming the dog does not lose any time in turning around, how far has the dog run by the time Diego and Elena reach each other?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Diego and Elena are 2 miles apart and begin walking towards each other.
Diego walks at a rate of 3.7 miles per hour and Elena walks 4.3 miles per hour.
While they are walking, Elena's dog run back and forth between the two of them at a rate of 6 miles per hour.
Assuming the dog does not lose any time in turning around, how far has the dog run by the time Diego and Elena reach each other?
:
Find the time (t) it takes for them to meet
Write a distance equation, dist = speed * time
When they meet, the sum of their distances = 2mi
3.7t + 4.3t = 2
8t = 2
t = 2/8 or 1/4 hr or 15 min
:
the dog was running for 1/4 hr at 6 mph
* 6 = 1.5 mi the dog ran
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