Question

A pilot can travel 416 miles with the wind in the same amount of time as 336 miles against the wind. find the speed of the wind if theâ pilot's speed in still air is 235 miles per hour. the speed of the wind is

Answer 1

25 miles/hour

Step-by-step explanation

Given that,

A pilot can travel with wind = 416miles

A pilot can travel against wind = 336miles

A pilot can speed without wind = 235miles/hour

let wind speed = v miles/hr

pilot's speed with the wind = 235+ v

pilot's speed against the wind = 235 - v

Time = distance / speed

416 / (235 + v) = 336 / (235 - v)

416(235 - v) = 336(235+v)

97760 - 416v = 78960 + 336v

97760 - 78960 = 416v + 336v

18800 = 752v

v = 18800/752

v = 25 miles/hour

wind speed = 25 mph