SOLUTION: FLYING SPEED:Two planes leave simultaneously from Chicago's O'Hare Airport, one flying due north and the other due east (see figure).The northbound plane is flying 50 miles per hou

Question 978271: FLYING SPEED:Two planes leave simultaneously from Chicago's O'Hare Airport, one flying due north and the other due east (see figure).The northbound plane is flying 50 miles per hour faster than the eastbound plane.After 3 hours, the planes are 2440 miles apart.Find the speed of each plane.

Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
O'Hare is at the right angle of the right-triangle.
Northbound, (r+50)*3
Eastbound, r*3

Not trying to check factorization of 4175,
using discriminant instead,
discrim is ;

which is about 53.3 miles per hour for the east-bound plane.
RELATED QUESTIONS
Two planes leave simultaneously from Chicago's O'Hare Airport, one flying due north and... (answered by josgarithmetic)

Two planes leave simultaneously from the same airport, one flying due north and one... (answered by jorel1380)

Two planes leave simultaneously from the same airport, one flying due north and the other (answered by ankor@dixie-net.com)

two planes leave simultaneously from the same airport, one flying due east and the other... (answered by Cintchr)

Two planes leave simultaneously from the same airport, one flying due east and the other... (answered by checkley77,ankor@dixie-net.com)

Two aircraft leave simultaneously from an airport, one flying due north and the other due (answered by mananth)

Two jets leave Chicago at the same time, one flying due west @ 750 km/hr, the other... (answered by josmiceli)

Two jets leave Chicago at the same time, one flying due west at 750km/hr, the other... (answered by ewatrrr)

Two planes leave an airport at the same time, one flying due west at 500km/h and the... (answered by psbhowmick)