SOLUTION: AIRSPEED It takes a private airplane 8.75 hours to make the
2,100-mile flight from Atlanta to Los Angeles and 5 hours to make the
return trip. Assuming that the wind blows
Algebra.Com
Question 943843: AIRSPEED It takes a private airplane 8.75 hours to make the
2,100-mile flight from Atlanta to Los Angeles and 5 hours to make the
return trip. Assuming that the wind blows at a constant rate from Los
Angeles to Atlanta, find the airspeed of the plane and the wind rate.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes a private airplane 8.75 hours to make the 2,100-mile flight from Atlanta to Los Angeles and 5 hours to make the return trip.
Assuming that the wind blows at a constant rate from Los
Angeles to Atlanta, find the airspeed of the plane and the wind rate.
------------------
ATL to LA DATA:
time = 8.75 hrs ; distance = 2100 ; rate = d/t = 2100/8.75 = 240 mph
-----
LA to ATL DATA:
time = 5 hrs ; distance = 2100 ; rate = d/t = 2100/5 = 420 mph
-------
Equation:
With-wind:: p + w = 420 mph
Against ::: p - w = 240 mph
------------------------------
Add and solve for "p"::
2p = 660
plane = 330 mph (speed in still air]
-----
Subtract and solve for "w"::
2w = 180
w = 90 mph (wind rate)
-------------------------
Cheers,
Stan H.
--------------
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It takes a private airplane 8.75 hours to make the
2,100-mile flight from Atlanta to Los Angeles and 5 hours to make the
return trip. Assuming that the wind blows at a constant rate from Los
Angeles to Atlanta, find the airspeed of the plane and the wind rate.
-----------------------
Find the 2 groundspeeds, upwind and downwind using
r = d/t
You get mi/hr if you divide the miles by the hours.
---
The plane's airspeed is the average of the 2 groundspeeds.
The windspeed is the difference between airspeed and groundspeed.
RELATED QUESTIONS
A plane flies from Atlanta to Los Angeles against the wind in 5 hours. The return trip... (answered by richwmiller)
Kevin flies in his private plane from Los Angeles to San Francisco, a distance of 450... (answered by richwmiller)
Kevin flies(in his private plane) from Los Angeles to San Franciso, a distance of 450... (answered by mananth)
it takes a jet airplane 4 hours and 20 minutes to travel nonstop from Chicago to Los... (answered by Alan3354)
Car A starts in Sacramento at 11am. It travels along a 400 mile route to Los Angeles at... (answered by ikleyn,mccravyedwin,greenestamps)
A commercial jet and a private airplane fly from Denver to Phoenix. It takes the... (answered by ikleyn)
john flies from atlanta georgia to san fransisco. it takes 5.6 hours to travel... (answered by stanbon)
An airplane flies to San Francisco from Los Angeles in 4 hours. It flies back in 3 hours. (answered by josgarithmetic)
Plane A leaves Los Angeles for New York at 500 mph, and at the same time plane B leaves... (answered by richwmiller)