Problema Solution
Mattie drove 250 miles in the same amount of time that it took a turbopropeller plane to travel 1050 miles. The speed of the plane was 160 mph faster than the speed of the car. Find the speed of the plane.
Answer provided by our tutors
let
m = the speed of Mattie
d1 = 250 mi the distance Mattie traveled
p = the speed of the plane
d2 = 1050 mi the distance the plane traveled
the speed of the plane was 160 mph faster than the speed of the car
p = m + 160
since speed = distance/time => time = distance/speed
d1/m = d2/p
250/m = 1050/p cross multiply
250p = 1050m divide both sides by 50
5p = 21m
by solving the system of equations
p = m + 160
5p = 21m
we find
p = 210 mph
click here to see the step by step solution of the system of equations
the speed of the plane was 210 mph.