Question 990696: A jet flew at an average speed of 480 mph from Point X to Point Y. Because of head winds, the jet averaged only 460 mph on the return trip, and the return trip took 25 minutes longer. How many hours was the flight from Point Y to Point X? How far is it from Point X to Point Y?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A jet flew at an average speed of 480 mph from Point X to Point Y. Because of head winds, the jet averaged only 460 mph on the return trip, and the return trip took 25 minutes longer. How many hours was the flight from Point Y to Point X? How far is it from Point X to Point Y?
-------
X to Y DATA:
rate = 480 mph ; distance = x miles ; time = x/480 hrs
------
Y to X DATA:
rate = 460 mph ; distance = x miles ; time = x/460 hrs
----------------
Equation:
x/460 - x/480 = 25/60
-------
60*480x - 60*460x = 460*480*25
---------------------------------
60*20x = 460*480*25
----
x = 23*8*25
x = 4600 miles (Distance from X to Y)
---
Ans: Time from Y to X = 4600/460 = 10 hrs
---------
Cheers,
Stan H.
----------------
|
|
|
