Problema Solution
Mattie Evans drove 350 miles in the time it took a turbo propellor plane to travel 1300 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane.
Answer provided by our tutors
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
click here to see the step by step solution of the system of equations
the speed of the plane is 235.24 mph.