1) 1hour 10minutes = [tex] \frac{7}{6} [/tex] hours,
50 minutes = [tex] \frac{5}{6} [/tex] hours
2) speed of plane against the wind = [tex]\frac{280miles}{ \frac{7}{6} } = \frac{280*6}{7}=240miles /hours [/tex]
3) speed of plane on the the wind =[tex] \frac{280miles}{ \frac{5}{6} } = \frac{280miles*6}{5}=336miles/hours [/tex]
4) (336-240):2=48miles/hours - speed of wind
5)336-48=288miles/hours - plane's speed in still air
Answer: speed of wind is 48 miles/hours, speed of plane in still air is 288 miles/hours