# SOLUTION: an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3hrs 20 mins and the airplanes speed in still air is600 km/h what

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 Question 623037: an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3hrs 20 mins and the airplanes speed in still air is600 km/h what is the speed of the wind. I have the total distance travelled to be 990+990=1980 Total time 200 min rtn or 100 min each way Then I am stuckFound 2 solutions by Alan3354, lwsshak3:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3hrs 20 mins and the airplanes speed in still air is600 km/h what is the speed of the wind. I have the total distance travelled to be 990+990=1980 Total time 200 min rtn or 100 min each way **************** It's not 100 mins each way. Downwind ground speed is greater than upwind. ----------- d = distance one way d/(600 + w) + d/(600 - w) = 10/3 hours 990/(600 + w) + 990/(600 - w) = 10/3 hours Multiply by 3*(660 + w)*(600 - w) 2970*(600 - w) + 2970*(600 + w) = 10*(600 + w)*(600 - w) 297*1200 = 360000 - w^2 w^2 = 360000 - 356400 = 3600 w = 60 km/hr Answer by lwsshak3(6522)   (Show Source): You can put this solution on YOUR website!an airplane makes a 990 km flight with a tailwind and returns, flying into the same wind.The total flying time is 3hrs 20 mins and the airplanes speed in still air is 600 km/h what is the speed of the wind. ** let x=speed of wind 600+x=speed of plane with tail wind 600-x=speed of plane into wind Total flying time=3hr+20min=20+1/3 hr=10/3 hr Travel time = distance/speed .. 990/(600+x)+990/(600-x)=10/3 LCD:3(600+x)(600-x) 3*990(600-x)+3*990(600+x)=10(600+x)(600-x) 3*990(600+x+600-x)=10(360000-x^2) (3*990*1200)/10=360000-x^2 356400=360000-x^2 x^2=360000-356400 x^2=3600 x=√(3600) x=60 speed of wind=60 km/hr