SOLUTION: A plane with a tail wind makes a 650 mile trip in 1 hour. It would take 2 hours to make the return trip against the same wind. Find the rate of the plane in still air.

Question 395754: A plane with a tail wind makes a 650 mile trip in 1 hour. It would take 2 hours to make the return trip against the same wind. Find the rate of the plane in still air.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A plane with a tail wind makes a 650 mile trip in 1 hour. It would take 2 hours to make the return trip against the same wind. Find the rate of the plane in still air.
------------------
With-wind DATA:
distance = 650 miles ; time = 1 hr ; rate = d/t = 650 mph
------------------------
Against-wind DATA:
distance = 650 miles ; time = 2 hr ; rate = d/t = 650/2 = 325 mph
-----
Equations:
p + w = 650 mph
p - w = 325 mph
-----
Add ans solve for "p":
2p = 975 mph
---
p = 487.5 mph (speed of the plane in still air)
----
Solve for "w":
p + w = 650
487.5 + w = 650
---
w = 650-487.5
w = 162.50 mph (speed of the wind)
===============
Cheers,
Stan H.
===========
RELATED QUESTIONS
A plane with a tail wind make a 650 mile trip in one hour. It would take 2 hours to make... (answered by Alan3354)

a plane flies 1440 miles with a tail wind in 4 hours. The plane makes the return trip... (answered by mananth)

A plane makes a 240-mile trip against a head wind in 1 hour and 30 minutes and returns,... (answered by ewatrrr,htmentor)

A plane flies 900km with a tail wind in 3 hours. The same plane takes 4 hours to make the (answered by ptaylor)

With a tail wind, a plane took 3 hours to travel 1440 km. On the return trip against the... (answered by Alan3354)

A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight... (answered by Fombitz)

A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight... (answered by checkley77)

A plane with a tail wind makes its 785-mile flight in 2.5 hours. The return flight... (answered by scott8148)

With a tail wind, a plane flew 1000 miles in 2 hours. The plane, flying directly against... (answered by greenestamps,josgarithmetic)