SOLUTION: Two airplanes depart from an airport traveling in opposite firections. The second plane is 200 miles per hour faster than the first. At 2 hours they are 1100 miles apart. Find the
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Question 260272: Two airplanes depart from an airport traveling in opposite firections. The second plane is 200 miles per hour faster than the first. At 2 hours they are 1100 miles apart. Find the speeds of the airplanes. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two airplanes depart from an airport traveling in opposite directions.
The second plane is 200 miles per hour faster than the first.
At 2 hours they are 1100 miles apart. Find the speeds of the airplanes.
:
Let s = speed of the 1st plane
then
(s+200) = speed of the 2nd
:
Write a dist equation; dist = time * speed
:
1st plane dist + 2nd plane dist = 1100 miles
2s + 2(s+200) = 1100
:
2s + 2s + 400 = 1100
4s = 1100 - 400
4s = 700
s =
s = 175 mph is the 1st plane
then, obviously:
375 mph is the 2nd plane
:
:
Check solution
2(175) + 2(375) =
350 + 750 = 1100
