anonymous
  • anonymous
A Piper Cub has an average air speed that is 10mph faster than a Cessna 150 airplane. If the combined distance traveled by these two small planes is 690 miles after 3 hr, what is the average speed of each plane?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
let x be speed 1, y be speed 2. 3(x+y) = 690. x = y + 10. So Y=110 X= 120 is this correct?
anonymous
  • anonymous
v1 = 10 + v2
anonymous
  • anonymous
so I'm wrong?

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anonymous
  • anonymous
well im doing it differently
anonymous
  • anonymous
do you agree that v1 = 10 + v2
anonymous
  • anonymous
v1 is the speed of the piper cub
anonymous
  • anonymous
yes
anonymous
  • anonymous
ok the distance we know is d = v* t , where v is the speed or rate, like d = rt
anonymous
  • anonymous
right
anonymous
  • anonymous
so the total distance you add the distances of the two planes , so v1*3 + (10+v2) *3 = 690
anonymous
  • anonymous
so you have a system of equations ,
anonymous
  • anonymous
since you know that v1 = 10 + v2, you can substitute that into the second equation
anonymous
  • anonymous
ok
anonymous
  • anonymous
(10 + v2) *3 + (10+v2)*3 = 690
anonymous
  • anonymous
maybe someone should check my work
anonymous
  • anonymous
\[\sqrt{105}\]
anonymous
  • anonymous
v =10.25695
anonymous
  • anonymous
i got v2 = 105
anonymous
  • anonymous
as did I
anonymous
  • anonymous
so v1 = 115
anonymous
  • anonymous
hmm, so The first one I did was wrong
anonymous
  • anonymous
no no nio
anonymous
  • anonymous
i made a mistake
anonymous
  • anonymous
we had v1 *3 + v2 *3 = 690
anonymous
  • anonymous
3 ( v1 +v2 ) = 690
anonymous
  • anonymous
substitute v1 = 10 + v2
anonymous
  • anonymous
3 ( 10 + v2 + v2) = 690
anonymous
  • anonymous
so v2 = 110
anonymous
  • anonymous
so v1 = 100
anonymous
  • anonymous
i meant
anonymous
  • anonymous
oh, I got 120, let me check my math
anonymous
  • anonymous
v1 = 120
anonymous
  • anonymous
you did everything right
anonymous
  • anonymous
AWESOME! thank you sooo much!

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