Question 1195078
rate * time = distance.
let p = the rate of the pass.
let w = the rate of the wind.
with the wind, the formula becomes:
(p + w) * 2 = 90
against the wind, the formula becomes:
(p - w) * 2 = 70
simplify both equations to get:
2p + 2w = 90
2p - 2w = 70
add the second equation to the first to get:
4p = 160
solve for p to get:
p = 40
the rate of the pass is 40 feet per second.
with the wind, you get:
(40 + w) * 2 = 90
simplify to get:
80 + 2w = 90
solve for w to get:
w = 5
against the wind, you get:\
(40 - w) * 2 = 70
solve for w to get:
w = 5
you get:
the rate of the pass is 40 feet per second.
the rate of the wind is 5 feet per second.
that's your solution.