two airplanes at 25000 feet above the ground are flying toward the same airport. Airplane A is flying due south towards the airport at 200 miles per hour, and Airplane B is flying due west toward the airport at 250 miles per hour. At 10:00 am Airplane A is 700 miles from the airport, and airplane b is 925 miles from the airport. How far are the two airplanes from each other at 10:30am?
(a) 1,000 miles
(b) 1,160 miles
(c) 1,400 miles
(d) 1,625 miles
(e) 1,800 miles

Question

alexwee123 · Answer

actually no diagram is needed.....

shane_b · Answer

First, the altitude given is just extra information.  Think about the rest of the problem.  

- Airplane a is going 200 mph and is 700 miles from the airport at 1000.  30 minutes later it will be 700-(200/2)=600 miles from the airport.

- Airplane b is going 250 mph and is 925 miles from the airport at 1000.  30 minutes later it will be 925-(250/2)=800 miles from the airport.

  |dw:1344994420452:dw|

Now just solve the triangle to get the distance between them (think Pythagorean Theorem).