A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes.

Gaintentavyw4

Gaintentavyw4

Answered question

2022-09-12

A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.1 hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. Find the speed of both airplanes.

Answer & Explanation

Holly Schmidt

Holly Schmidt

Beginner2022-09-13Added 10 answers

Le the distance to be covered be x miles speed of commercial jet S c j = x 1 1 x = 1 1 S c j
Speed of private plane S p p = x 1.8 1.1 S c j = 1.8 S p p
Given that S is 210 miles/hr faster than S_pp
Substitute
1.8 1.1 S p p = 210 + S p p ( 1.8 1 ) S p p = 210 7 11 S p p = 210 S p p = 30 × 11 7 = 330 S c j = 210 + S p p = 210 + 330 = 540

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