The speed of the jet in still air is 700 km/h and the speed of the Jetstream is 210 km/h. We use two equations based on flying against and with the Jetstream to solve for these values.
Let's denote the speed of the jet in still air as J and the speed of the Jetstream as S.
When the jet is flying against the Jetstream, its effective speed is J - S. We know that it travels 4410 km in 9 hours, which gives us the equation: J - S = 4410 km / 9 h = 490 km/h.
When the jet is flying with the Jetstream, its effective speed is J + S. We know that it travels 7280 km in 8 hours, yielding the equation: J + S = 7280 km / 8 h = 910 km/h.
To find the speed of the jet in still air (J) and the speed of the Jetstream (S), we will solve this system of equations:
Equation 1: J - S = 490
Equation 2: J + S = 910
Add both equations: (J - S) + (J + S) = 490 + 910, which simplifies to 2J = 1400, and we find J = 700 km/h.
Substitute J in either Equation 1 or 2 (let's use Equation 1):
700 - S = 490, which gives S = 210 km/h.
Therefore, the speed of the jet in still air is 700 km/h and the speed of the Jetstream is 210 km/h.
COMPLETE QUESTION:
Flying against the Jetstream, a jet travels 4410km in 9 hours. Flying with the Jetstream, the same jet travels 7280 km in 8 hours. What is the speed of the jet in still air, and what is the speed of the Jetstream?