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September 20, 2014

September 20, 2014

Posted by **G** on Tuesday, September 10, 2013 at 5:14pm.

- College Math -
**Reiny**, Tuesday, September 10, 2013 at 5:34pmspeed of plane in calm air --- x mph

time to go 460 miles with the wind = 460/(x+30)

time to go 310 miles against the wind = 310/(x-30)

they are equal, so

460/(x+30) = 310/(x-30)

460(x-30) = 310(x+30)

460x - 13800 = 210x + 9300

150x = 23100

x = 154

the speed of the plane is 154 mph

check:

speed with the wind = 184

time of trip against wind = 460/184 = 2.5 hours

speed against wind = 124 mph

time of trip against wind = 310/124 = 2.5 hours.

My answer is correct.

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