SOLUTION: A plane flies roundtrip between Great Hall and Bradford. The trip is 450 miles each way. The trip with the wind​ (the wind going in the same​ direction) takes 4.5 ̴
Algebra.Com
Question 1023364: A plane flies roundtrip between Great Hall and Bradford. The trip is 450 miles each way. The trip with the wind (the wind going in the same direction) takes 4.5 hours, while the trip against the wind takes 5 hours. What is the speed of the plane in still air? What is the speed of the wind?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the speed of the plane in still air, r.
Call the speed of the wind, w.
Thus the rate with the wind is r + w, and
the rate against the wind is r - w.
Now, since rate times time equals distance, we can write
4.5(r+w) = 450 and
5(r-w) = 450
which we can simplify, dividing the time, to
r + w = 100
r - w = 90
Now add these and get
2r = 190
r = 95 mph
so that the wind is
w = 5 mph
RELATED QUESTIONS
A plane flies roundtrip between Great Hall and Bradford. The trip is 150 miles each way.... (answered by ikleyn)
An airplane flies between Boston and Cleveland. During a round-trip flight, the plane... (answered by josmiceli)
In a round trip, a plane flies 990 miles each way,one way with tailwind and one with... (answered by richwmiller,jim_thompson5910,MathTherapy)
An airplane has just enough fuel for a 6 hour flight. How far can it fly, roundtrip, in... (answered by stanbon)
A plane flies 720 miles with the wind in 3 hours. the return trip (against the wind)... (answered by josgarithmetic,ikleyn,josmiceli)
an airplane flies between two cities 450 kilometers apart traveling with a wind of 45mph... (answered by ankor@dixie-net.com)
An airplane traveling with the wind flies 450 miles in 2 hours. On the return trip, the... (answered by ankor@dixie-net.com)
An airplane traveling with wind flies 450 miles in 2 hours. On the return trip the plane... (answered by Fombitz,jorel1380,ikleyn,josmiceli)
a plane traveled 514.8 miles each way to Toronto and back. The trip was with the wind. It (answered by josgarithmetic)