The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.
Step-by-step explanation:
Given,
The distance traveled by plane = 1463 miles
The trip with the wind took 11 hours.
The trip took 19 hours against the wind.
Let,
s be the speed of plane and w be the speed of wind.
Therefore;
Speed with the wind = s+w
Speed into the wind = s-w
We know that;
Distance = Speed * Time
Therefore;
Equation for trip taken with wind.
1463 = 11(s+w)
Dividing both sides by 11
Equation for trip taken into the wind
1463 = 19(s-w)
Dividing both sides by 19
Adding Eqn 1 and 2
Dividing both sides by 2
Putting s=105 in Eqn 1
The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.