Two planes leave from Atlanta, Georgia.

Question

Two planes leave from Atlanta, Georgia. One makes a 4.4

 hr flight to Seattle, Washington, and the other makes a 5

 hr flight to Boston, Massachusetts. The plane to Boston averages 52mph

 slower than the plane to Seattle. If the total distance traveled by both planes is 3124mi

, determine the average speed of each plane.

Answer 1

d=rt

distance = rate of speed times time

4.4S + 5(S-52) = 3124

4.4S + 5S = 3124 + 260

9.4S = 3384

S = 3384/9.4 = 360 mph for the Seattle bound plane

B = 360-52 = 308 mph for the Boston bound plane