Problema Solution
A certain aircraft can fly 1330 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?
Answer provided by our tutors
et
v = the speed of the aircraft in still air, v>0
w = the speed of the win, w>0
d = 1330 mi the distance traveled when flying with the wind
t1 = 5 hr the time of the flight with the wind
t2 = 7 hr the time of the flight against the wind
the speed of the plane flying with the wind is: v + w
the speed of the plane flying against the wind is: v - w
since speed = distance/time
when flying with the wind:
v + w = d/t1
v + w = 1330/5
v + w = 266
the flying against the wind:
v - w = d/t2
v - w = 1330/7
v - w = 190
by solving the system of equations
v + w = 266
v - w = 190
we find:
v = 228 mph
w = 38 mph
click here to see the step by step solution of the system of equations:
the speed of the wind is 38 mph.