SOLUTION: A pilot plans to make a round trip flight lasting 2.5 hours. How far can the pilot plan to go if the rate going is 480km per hour and the rate returning is 320km per hour?

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Question 111013This question is from textbook hbj algebra 1
: A pilot plans to make a round trip flight lasting 2.5 hours. How far can the pilot plan to go if the rate going is 480km per hour and the rate returning is 320km per hour?
This question is from textbook hbj algebra 1

Found 2 solutions by checkley71, scott8148:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
DISTANCE=RATE*TIME
SEEING AS THE DISTANCES ARE THE SAME, WE SET THEM EQUAL.
480*X=320(2.5-X)
480X=800-320X
480X+320X=800
800X=800
X=800/800
X=1 HOUR FOR THE FIRST TRIP @ 480 KPH.
2.5-1=1.5 HOURS FOR THE RETURN FLIGHT @ 320 KPH.
PROOF
480*1=320*1.5
480=480
480 KM IS THE MAX DISTANCE HE CAN FLY IN 2.5 HOURS @ 480 & 320

Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
time=distance/rate ___ let x=distance (one way) ___ (x/480)+(x/320)=2.5