Joe flew 300 miles with the wind in two hours. After flying against the wind for 2 hours, he had made 270 miles of the return trip. Find the wind speed and the speed of the plane in still air.
with - r * t = d
This is a motion problem but I don't know how to do it.
When flying WITH the wind his rate is s +w where s = plane speed w = wind speed
so d = r * t
300 = (s+w) * 2
AGAINST the wind, his rate is s - w
so 270 = (s-w)*2 Now you have two equations and two unknowns....solve the system of equations to find ' s '
I got plane speed is 142.5 mph and wind speed is 7.5 mph.
It is WAY easier to solve this NOT using the clumsy box method:
You have two equations:
300 = 2(s+w) or 150 = s+w (by dividing both sides of the equation by 2)
270 = 2 (s-w) or 135 = s-w <------ Now ADD the two equations together
285 + 2s thus s = 142.5 = plane speed in still air
I havn't any idea how to make this into a quadratic to solve by the Box method
(this ' box method', I think is crazy....sorry you are being taught this method)...