A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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?
anonymous
 one year ago
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?

This Question is Closed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2I 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
 one year ago
Best ResponseYou've already chosen the best response.2so, substituting your data we get: \[\Large 2700 = 3{v_A} \times 3\] please solve for v_A

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can u explain please

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2we have: \[\Large 2700 = 9{v_A}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2now, please divide both sides by 9, what do you get?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2hint: dw:1434807331602:dw what is v_A?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2it is: \[\Large {v_A} = 300\;{\text{miles/hours}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what about the other plane? I know it's 600 but how do we know it's 600?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2since v_B is twice of v_A: \[\Large {v_B} = 2{v_A} = 2 \times 300 = ...{\text{miles/hours}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what is the algebraic equation for this?

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the 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
 one year ago
Best ResponseYou've already chosen the best response.0what is all that mumbo jumbo??????? I know Distance = Time x Speed

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the equation which model your problem are:

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2\[\left\{ \begin{gathered} d = {v_A}t + {v_B}t \hfill \\ {v_B} = 2{v_A} \hfill \\ \end{gathered} \right.\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2so the algebraic equation for v_B, is: \[\Large {v_B} = 2{v_A}\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.2the 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
 one year ago
Best ResponseYou've already chosen the best response.2since the distance d depends on the elapsed time t
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.