Question 741985: I need help writing the equations for this word problem. Two airplanes flying in opposite directions from the same airport. The second plane flies 50 mph faster than the first plane, but it starts one-half hour later. Two hours after the first plane started, the planes are 1825 miles apart. How fast is each plane flying?
Do I need to use d=rt?
is one of the equations x + y =1825?
Appreciate any help.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! I need help writing the equations for this word problem. Two airplanes flying in opposite directions from the same airport. The second plane flies 50 mph faster than the first plane, but it starts one-half hour later. Two hours after the first plane started, the planes are 1825 miles apart. How fast is each plane flying?
first plane x mph
Plane II x+50 mph starts 1.5 hours later.
during this period the plane I has traveled 1.5x miles
Add up their speeds
=> x+x+50=>2x+50 mph. ( traveling in opposite direction)
distance = r*t
Total distance = distance plane I flying alone + distance both flying
1825=1.5x +0.5(2x+50)
1825=1.5x +x+25
1825-25=2.5x
1800=2.5x
x=720
plane I speed = 720 mph
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