A traffic helicopter pilot finds that with a tailwind, her 120 km trip away from the airport takes 30 minutes. On her return trip to the airport, into the wind, she finds that her trip is 10 minutes longer. What is the speed of the helicopter? What is the speed of the wind?

2. Originally Posted by Soy
A traffic helicopter pilot finds that with a tailwind, her 120 km trip away from the airport takes 30 minutes. On her return trip to the airport, into the wind, she finds that her trip is 10 minutes longer. What is the speed of the helicopter? What is the speed of the wind?
(rate) $\times$ (time) = distance

with the wind ...

$(s + w) \cdot \frac{30}{60} = 120$

against the wind ...

$(s - w) \cdot \frac{40}{60} = 120$

solve the system for $s$, speed of the helicopter and $w$ , windspeed.