Problema Solution
a plane travels 236 miles in 1.4 hours against the wind. On the return, the trip, it travels the same 236 in 1 hour. find the speed of the wind.
Answer provided by our tutors
let
v = the speed of the plane in still air
w = the speed of the wind
traveling against the wind the speed of the plane is: v - w
v - w = 236/1.4
travelling with the wind the speed of the plan is: v + w
v + w = 236/1
by solving the system of equations:
v - w = 236/1.4
v + w = 236/1
we find:
v = 202.3 mph
w = 33.7 mph
click here to see the step by step solution of the system of equations:
the speed of the wind is 33.7 mph.