Problema Solution
A plane traveled 672 miles to Mexico and back the trip there was with the 8 hours the trip back with wind was 16 hours and into the wind find the speed of the plane in still air
Answer provided by our tutors
let
d = 672 mi the distance traveled
t1 = 8 hr the trip with the wind
t2 = 16 hr the trip against the wind
w = the speed of the wind
v = the speed of the plane in still air
traveling with the wind
(v + w)8 = 672 divide both sides by 8
v + w = 84
traveling against the wind
(v - w)16 = 672 divide both sides by 16
v - w = 62
by solving the system of equations
v + w = 84
v - w = 62
we find
v = 73 mph
w = 11 mph
click here to see the step by step solution of the system of equations
the speed of the wind in still air is 73 mph.