A B747 aircraft flew 6 hours wwind speed return trip took 7

A B747 aircraft flew 6 hours w/wind speed return trip took 7 hours aginst wind if the speed of the plane in air is 13 times speed of wind find the wind speed and the speed of the plane in still air solve by substition or eliminamation

Solution

Let s = speed of the plane
Let w = speed of the wind
:
Write a distance equation for the statement. dist = time * speed
7(s - w) = 6(s + w)
7s - 7w = 6s + 6w
7s - 6s = 6w + 7w
s = 13w, which is what the problem states
:
Substitute a value for w, find s
A few solutions
w | s
-----
20|260
25|325
40|520