SOLUTION: two airplanes leave the same airport, one heads north and the other heads east. after some time , the northbound airplane has traveled 12 mins if the two airplanes are 20 miles apa

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Question 1080819: two airplanes leave the same airport, one heads north and the other heads east. after some time , the northbound airplane has traveled 12 mins if the two airplanes are 20 miles apart how far has the eastbound airplane traveled
Answer by ankor@dixie-net.com(22740) (Show Source):
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two airplanes leave the same airport, one heads north and the other heads east.
after some time, the northbound airplane has traveled 12 mins if the two airplanes are 20 miles apart how far has the eastbound airplane traveled
:
Kind of obscure, this problem. I assume both planes left at same time going the same speed (s)
Change 12 min to .2 hrs,
both planes travel .2s mi at 90 degrees to each other
use the pythag
(.2s)^2 + (.2s)^2 = 20^2
.04s^2 + .04s^2 = 400
.08s^2 = 400
s^2 = 400/.08
s^2 = 5000
s =
s = 70.7 mph
" how far has the eastbound airplane traveled?"
.2 * 70.7 = 14.14 mi