Question

2. A pilot can travel 448 miles with the wind in the same amount of time as 368 miles against the wind. Find the speed of the wind if the pilot’s speed in still air is 255 miles per hour.

Answer 1

I think you subtract both and find the thing they have in common

Explanation:

Answer 2

wind speed = 25 miles/hr

Explanation:

let a = speed of the wind

speed with the wind = 255 + a , since the wind is not against him

speed against the wind = 255 - a

travel time is same for against and withe wind

therefore,

speed = distance/time

time = distance/time

448/255 + a = 368/255 - a

cross multiply

448(255 - a) = 368(255 + a)

114240 - 448a = 93840 + 368a

114240 - 93840 = 448a + 368a

20400 = 816a

divide both sides by 816

a = 20400/816

a = 25 miles/hr