<PRE><B>Question 260272</B>
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 = {{{700/4}}}
s = 175 mph is the 1st plane
then, obviously:
375 mph is the 2nd plane
:
:
Check solution
2(175) + 2(375) =
350 + 750 = 1100 </PRE>