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jeyben [28]
3 years ago
12

Mattie Evans drove 350 miles in the same amount of time that it took a turbopropeller plane to travel 1350 miles. The speed of t

he plane Has 200 mph faster than
the speed of the car. Find the speed of the plane.

(Simplify )
Mathematics
2 answers:
Murljashka [212]3 years ago
6 0

let

d1 = 250 mi the distance that Mattie Evans drove

v1 = the speed of Mattie Evans

d2 = 1300 mi the distance the plane traveled

v2 = the speed of the plane

The speed of the plane was 190 mph faster than the speed of the car:

v2 = v1 + 190

since time = distance/speed and they both traveled the same time we have

d1/v1 = d2/v2

250/v1 = 1300/v2 cross multiply

250v2 = 1300v1 divid eboth sides by 50

5v2 = 26v1

by solving the system of equations:

v2 = v1 + 190

5v2 = 26v1

we find

v1 = 45.24 mph

v2 = 235.24 mph

Whitepunk [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Tank you

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