Respuesta :
Let the speed of a car = v
Distance travel by car = 112 miles
Speed of a light aircraft = 2v - 9
Distance travel by light aircraft = 206 miles
From time formula
[tex]\text{Time = }\frac{Dis\tan ce}{\text{Speed}}[/tex]Time for car
[tex]\text{Time = }\frac{112}{v}[/tex]Time for light aircraft
[tex]Time\text{ = }\frac{206}{2v\text{ - 9}}[/tex]Since the time is equal for both car and light aircraft
Therefore,
[tex]\begin{gathered} \frac{112}{v}\text{ = }\frac{206}{2v\text{ - 9}} \\ \text{Cross multiply} \\ 206v\text{ = 112(2v - 9)} \\ 206v\text{ = 224v - 1008} \\ 1008\text{ = 224v - 206v} \\ 1008\text{ = 18v} \\ v\text{ =}\frac{1008}{18} \\ v\text{ = 56 miles per hour} \end{gathered}[/tex]The average speed of a car = 56 miles per hour
The average speed of a light aircraft = 2v - 9
= 2(56) - 9
= 112 - 9
= 103 miles per hour
