SOLUTION: Two planes leave New Orleans at the same time. Plane A heads north and Plane B heads south. After 4 hours and 15 minutes, the two planes are 4636.75 miles apart. Also, Plane A is t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two planes leave New Orleans at the same time. Plane A heads north and Plane B heads south. After 4 hours and 15 minutes, the two planes are 4636.75 miles apart. Also, Plane A is t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1016234: Two planes leave New Orleans at the same time. Plane A heads north and Plane B heads south. After 4 hours and 15 minutes, the two planes are 4636.75 miles apart. Also, Plane A is traveling 47 mph faster than Plane B.
a.) At what speeds are the two planes traveling at?
b.) How far did each plane travel?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=plane A
x-47=plane B, units mph
4.25(2x-47)=4636.75
8.5x-199.75=4636.75
8.5x=4836.50
x=569 mph Plane A
x-47=522 mph. Plane B
A traveled 2418.25 mi
B traveled 2218.5 mi.