SOLUTION: A search plane takes off from an airport at 6:00 a.m. and travels north at 200mph. A second plane leaves that airport at 6:30 a.m. and travels east at 150mph. The planes carry radi
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Question 741083: A search plane takes off from an airport at 6:00 a.m. and travels north at 200mph. A second plane leaves that airport at 6:30 a.m. and travels east at 150mph. The planes carry radios with a maxium range of 300 miles. When (to the nearest minute) will these planes no longer be able to communicate?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The 1st plane has a head start of
mi
----------------
Start a stopwatch when the 2nd plane leaves
------------------------------
Let = time on stopwatch when they
are miles apart
---------------------
distance for 1st plane:
-------------------
Distance for 2nd plane:
-------------
The planes travel 90 degrees to each other, so
Use quadratic formula
hrs
min
They will be out of range at 7:22
check:
1st plane:
--------------
2nd plane:
-------------
Maybe error is due to rounding off.
Recheck my math- I think the method
is OK
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