anonymous
  • anonymous
two planes left an airport at noon, one flew east and the other flew west at twice the speed. After 3 hours the planes were 2700mi apart. How fast was each plane flying?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Michele_Laino
  • Michele_Laino
I call with v_A and v_B the velocities of each plane say plane A and plane B, furthermore, be: v_B=2*v_A then we can write: \[\Large d = {v_A}t + {v_B}t = {v_A}t + 2{v_A}t = 3{v_A}t\] where t is the time namely t= 3 hours, and d is their separation, namely d= 2,700 mi |dw:1434806880955:dw|
Michele_Laino
  • Michele_Laino
so, substituting your data we get: \[\Large 2700 = 3{v_A} \times 3\] please solve for v_A
anonymous
  • anonymous
wait what?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
can u explain please
Michele_Laino
  • Michele_Laino
we have: \[\Large 2700 = 9{v_A}\]
Michele_Laino
  • Michele_Laino
now, please divide both sides by 9, what do you get?
Michele_Laino
  • Michele_Laino
hint: |dw:1434807331602:dw| what is v_A?
Plasmataco
  • Plasmataco
YAY!
anonymous
  • anonymous
is it 900?
Michele_Laino
  • Michele_Laino
it is: \[\Large {v_A} = 300\;{\text{miles/hours}}\]
anonymous
  • anonymous
what about the other plane? I know it's 600 but how do we know it's 600?
Michele_Laino
  • Michele_Laino
since v_B is twice of v_A: \[\Large {v_B} = 2{v_A} = 2 \times 300 = ...{\text{miles/hours}}\]
anonymous
  • anonymous
ohhhhhhhh
anonymous
  • anonymous
so what is the algebraic equation for this?
Michele_Laino
  • Michele_Laino
the algebraic equations which models your problems are: \[\Large \left\{ \begin{gathered} d = {v_A}t + {v_B}t \hfill \\ {v_B} = 2{v_A} \hfill \\ \end{gathered} \right.\]
anonymous
  • anonymous
what is all that mumbo jumbo??????? I know Distance = Time x Speed
Michele_Laino
  • Michele_Laino
the equation which model your problem are:
Michele_Laino
  • Michele_Laino
\[\left\{ \begin{gathered} d = {v_A}t + {v_B}t \hfill \\ {v_B} = 2{v_A} \hfill \\ \end{gathered} \right.\]
Michele_Laino
  • Michele_Laino
so the algebraic equation for v_B, is: \[\Large {v_B} = 2{v_A}\]
Michele_Laino
  • Michele_Laino
the relative distance d between the planes is given by this function: \[\Large d\left( t \right) = \left( {{v_A} + {v_B}} \right)t\]
Michele_Laino
  • Michele_Laino
since the distance d depends on the elapsed time t

Looking for something else?

Not the answer you are looking for? Search for more explanations.