SOLUTION: A plane flies at 200 mph for the first and last half hour of a flight. It flies at a higher constant speed for the rest of the flight. The route is 2100 miles. The plane is 1000 mi

Question 1005368: A plane flies at 200 mph for the first and last half hour of a flight. It flies at a higher constant speed for the rest of the flight. The route is 2100 miles. The plane is 1000 miles from the destination 2 hours before the end of the flight. How many hours is the entire flight?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

In the 1st 1/2 hr,

In the last 1/2 hr, also
mi is flown at
the other constant speed
----------------------
mi near the end of the trip is
covered in hrs
mi/hr is the
other constant speed
-------------------
Let = time of flight except for the 1st
1/2 hr and last 1/2 hr
-------------------
is the miles covered at mi/hr

---------------

This is 4 hrs and 10 minutes for the entire flight
Hope I got it!
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!
A plane flies at 200 mph for the first and last half hour of a flight. It flies at a higher constant speed for the rest of the flight. The route is 2100 miles. The plane is 1000 miles from the destination 2 hours before the end of the flight. How many hours is the entire flight?

.
Since the plane traveled at 200 mph for the 1st hr of the flight, then for the 1^st hour of flight, plane covered () or 100 miles
Since the plane traveled at 200 mph for the last hr of the flight, then for the last hr of flight, plane covered (), or 100 miles
Since it traveled 1,000 � 100, or 900 miles, hours before the last hour, its speed during this stretch was: , or 600 mph
Since it�s stated that it traveled at a higher constant speed for the rest of the 2,100-mile journey, and itw�s found that its speed for 900 of
the last 1,000 miles was 600 mph, then this is the speed at which it traveled for the remaining 1,000 (2,100 � 100 � 900 � 100) miles of the journey
Therefore, time spent travelling the remaining 1,000 miles (see diagram) = , or hrs, or hours
Therefore, total time for the entire trip was: , or hours, or
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