algebra 2
posted by Trisan on .
With the wind, a jet can fly 2500 km in 2 hours and 30 minutes. Against the wind, it can fly only 2000 km in the same time. Find the rate of the jet if the rate of the jet if the rate of the wind is 100 km/hr. Please Show All Work!

Not sure what you exactly want but here is what you will need to get your answers:
V1  Velocity of the jet
V2  Velocity of Wind
So 2500km/(V1+V2) = 2.5hrs  (1)
2000km/(V1V2) = 2.5hrs  (2)
Solving for the above 2 equations:
2500V1 2500V2 = 2000V1 + 2000V2
500V1 = 4500V2
or V1 = 9V2
Putting this in (1)
10V2 = 1000
V2 = 100km/hr (Wind)
V1 = 900km/hr (Jet)
That's the answer