Mattie Evans drove 120 miles in the same amount of time that it took a turbopropeller plane to travel 690 miles. The speed of the plane was

Question

Mattie Evans drove 120 miles in the same amount of time that it took a turbopropeller plane to travel 690 miles. The speed of the plane was 190 mph faster than the car. Find the speed

in progress 0
Liliana 2 weeks 2021-09-09T14:37:40+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T14:39:24+00:00

    Answer: speed of the car is

    40 miles per hour

    speed of the turbopropeller is 230 miles per hour

    Step-by-step explanation:

    Let x represent the speed of the car.

    Let y represent the speed of the turbopropeller.

    Time = distance / speed

    Time travelled by Mattie Evans in his car is 120/x

    It took the turbo propeller the same time to travel a distance of 690 miles.

    Time it took the turbo propeller to travel 160 miles will be

    690/y

    Since the time is the same, then

    120/x = 690/y

    120y = 690x – – – – – – – – – 1

    The speed of the plane was 190 mph faster than the car. This means that

    y = x + 190- – – – – – – – – 2

    Substituting equation 2 into equation 1, it becomes

    120(x + 190) = 690x

    120x + 22800 = 690x

    690x – 120x = 22800

    570x = 22800

    x = 22800/570

    x = 40 miles per hour

    y = x + 190

    y = 40 + 190 = 230 miles per hour

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )