SOLUTION: Can you help me with this problem: A Fly By Night Airlines plane is traveling at 600 miles per hour with all three engines running. After it has flown for x hours, the pilot turns

Question 668193: Can you help me with this problem: A Fly By Night Airlines plane is traveling at 600 miles per hour with all three engines running. After it has flown for x hours, the pilot turns off the middle engine to conserve fuel. The speed after engine shutdown is 500 miles per hour. If the total flight time is 6 hours, how long into the flight is the engine shut down for a 3400 mile cross country flight?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you help me with this problem:
A Fly By Night Airlines plane is traveling at 600 miles per hour with all three engines running.After it has flown for x hours, the pilot turns off the middle engine to conserve fuel.
distance traveled = 600x miles
--------------------------------------------
The speed after engine shutdown is 500 miles per hour.
If the total flight time is 6 hours
distance traveled = 500(6-x) miles
--------------------------
, how long into the flight is the engine shut down for a 3400 mile cross country flight?
===
Equation:
600x + 500(6-x) = 3400 miles
600x + 3000 - 500x = 3400
100x = 400
x = 4 hrs (time the plane flew on 3 engines)
---
6-x = 2 hrs (time the plane flew on 2 engines)
=========================
Cheers,
Stan H.

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