SOLUTION: Tanner Jones and Sheldon Furst received walkie-talkies for Christmas. If they leave from the same point at the same time, Tanner walking north at 2.5 mph and Sheldon walking east a

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Question 564882: Tanner Jones and Sheldon Furst received walkie-talkies for Christmas. If they leave from the same point at the same time, Tanner walking north at 2.5 mph and Sheldon walking east at 3 mph, how long will they be able to talk to each other if the range of the walkie-talkies is 4 miles?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Tanner Jones and Sheldon Furst received walkie-talkies for Christmas.
If they leave from the same point at the same time, Tanner walking north at 2.5 mph and Sheldon walking east at 3 mph, how long will they be able to talk to each other if the range of the walkie-talkies is 4 miles?
:
Let t = walking time of the two boys to reach max range
:
2.5t = dist walked by T
3t = dist walked S
:
This scenario forms a right triangle where distance between the boys is the hypotenuse
Using pythag: a^2 + b^2 = c^2
%282.5t%29%5E2+%2B+%283t%29%5E2+=+4%5E2
:
6.25t^2 + 9t^2 = 16
15.25t^2 = 16
t^2 = 16%2F15.25
t^2 = 1.0492
t = sqrt%281.0492%29
t = 1.0243 hrs walking time for max range of the walkie-talkies
Then
2.5 * 1.0243 = 2.56 mi, T's walking dist for max range
and
3 * 1.0243 = 3.073 mi, S's walking dist
:
:
Check this on your calc enter sqrt%282.56%5E2+%2B+3.073%5E2%29 results: 3.9996 ~ 4 mi