An airplane can travel 350 mph in still air. If it travels 1890 miles with the wind in the same length of time it travels 1610 miles against the wind, what is the speed of the wind? Will vote best answer to fast correct answer please help!
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An airplane can travel 350 mph in still air.
If it travels 1890 miles with the wind in the same length of time it travels
1610 miles against the wind,
what is the speed of the wind?
If the speed of the wind is 'w',
1890/(s + w) = 1610/(s - w)
1610(s + w) = 1890(s - w)
3500w
= 280s
= 280*350
w = 28*35/35
The speed of the wind is 28 miles per hour.
If it travels 1890 miles with the wind in the same length of time it travels
1610 miles against the wind,
what is the speed of the wind?
If the speed of the wind is 'w',
1890/(s + w) = 1610/(s - w)
1610(s + w) = 1890(s - w)
3500w
= 280s
= 280*350
w = 28*35/35
The speed of the wind is 28 miles per hour.
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Let's say x is the speed of wind.
(360 + x)t + (360 - x)t = 1890 + 1610 = 3500
or 720t = 3500
or t = 350/72
now (360+x)t = 1890
or (360+x)*(350/72) = 1890
or (360*350)/72 + x(350/72) = 1890
or 1750 + x(350/72) = 1890
or x(350/72) = 1890 - 1750 = 140
or x = (140 * 72) / 350 = 28.8
(360 + x)t + (360 - x)t = 1890 + 1610 = 3500
or 720t = 3500
or t = 350/72
now (360+x)t = 1890
or (360+x)*(350/72) = 1890
or (360*350)/72 + x(350/72) = 1890
or 1750 + x(350/72) = 1890
or x(350/72) = 1890 - 1750 = 140
or x = (140 * 72) / 350 = 28.8