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

Macioccujx

Answered question

2022-07-24

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.

Answer & Explanation

Kendrick Jacobs

Kendrick Jacobs

Beginner2022-07-25Added 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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