A small jet can fly 795 miles in 3 hours with a tailwind but only 645 miles in
3 hours into a headwind. Find the speed of the jet in still air.
follow the same steps I showed you in your previous question.
To find the speed of the jet in still air, we need to first determine the speed of the tailwind and the speed of the headwind.
Let's assume that the speed of the jet in still air is represented by "x" (in miles per hour), and the speed of the tailwind is represented by "y" (in miles per hour).
With a tailwind, the speed of the jet relative to the ground would be the sum of the speed of the jet in still air and the speed of the tailwind:
Speed of jet with tailwind = x + y
With a headwind, the speed of the jet relative to the ground would be the difference between the speed of the jet in still air and the speed of the headwind:
Speed of jet with headwind = x - y
We are given that the jet can fly 795 miles in 3 hours with a tailwind, so we can create an equation based on this information:
795 = (x + y) * 3
Similarly, we are given that the jet can fly 645 miles in 3 hours with a headwind, so we can create another equation based on this information:
645 = (x - y) * 3
Now we have a system of two equations with two variables (x and y). We can solve this system of equations to find the values of x and y.
Let's start by simplifying the equations:
Equation 1: 795 = 3x + 3y
Equation 2: 645 = 3x - 3y
We can solve this system of equations using the elimination method. By adding the two equations together, we can eliminate the "y" term:
795 + 645 = (3x + 3y) + (3x - 3y)
1440 = 6x
Dividing both sides of the equation by 6, we get:
x = 1440 / 6
x = 240
Therefore, the speed of the jet in still air is 240 miles per hour.