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sindy35111
23.10.2019 •
Mathematics
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.
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Ответ:
wind speed = 25 miles/hr
Step-by-step 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
Ответ: