Two planes leave from Atlanta, Georgia. One makes a 5.2-hr flight to Seattle, Washington, and the other makes a 2.5-hr flight to Boston, Massachusetts. The plane to Boston averages 44 mph slower than the plane to Seattle. If the total distance traveled by both planes is 3124 mi, determine the average speed of each plane.

Macioccujx 2022-07-24 Answered
Two planes leave from Atlanta, Georgia. One makes a 5.2-hr flight to Seattle, Washington, and the other makes a 2.5-hr flight to Boston, Massachusetts. The plane to Boston averages 44 mph slower than the plane to Seattle. If the total distance traveled by both planes is 3124 mi, determine the average speed of each plane.
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Answers (1)

Kendrick Jacobs
Answered 2022-07-25 Author has 16 answers
speed of plane to seattle be x
speed of plane to boston = x- 44
distance = speed * time
3124 = x * 5.2 + ( x-44) * 2.5
3124 = 5.2 x + 2.5 x - 110
3014 = 7.7 x
x = 391.428 mi/hr
speed of plane to seattle = 391.428 mi/hr
speed of plane to boston = x-44 = 347.428 mi/hr
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