A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Two panes are headed towards eachother, an are 440 iles apart. If one is going 240 miles an hour and the other 360 mph how far will they be four minutes before meeting?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    To get the time until they meet, you can calculate: x[(240+360)]=400

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Which means they will meet in 48 minutes. To calculate the distance at 4 minutes before they meet, you can see this will be 44 minutes.

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    44/60 (because there are 60 minutes in an hour) * (240+360) = 366 2/3

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ho did you figure it?

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Then you can subtract that from 440: 440-366 2/3 = 33 1/3 miles apart. Look right Anwar? :)

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    This is confusng

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I skipped a step to start, so lets go back there. And I mistyped. Sorry. Let me start over. To calculate the time it takes for the planes to meet, we need a period of time that will have the total distance traveled to be 440mi. Does that make sense?

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay. To do this, we need an amount of time that, when multiplied by the speed of both planes, equals 440. So we can set it up like this: x*(360+240)=440 (this is where I messed up originally because I said 400) Got that part?

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    360+240 is 500

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Right, but do you understand the equation that I posted? x*(360+240)=440, where x is the amount of time it takes for the two planes to meet.

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay. Now, we can solve for x: x*(500)=400 Therefore x=440/500 x=22/25

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    But we are not done, that is just the time it takes for the two planes to meet. Make sense so far?

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Actually it's 600x=400 :).. But I don't think you need that.

  16. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oi you are right, thank you. 600x=400 so x=2/3

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since the speed is in MPH, our x is calculated in hours. If we want 4 minutes before they meet, we should convert the time (x) to minutes by multiplying by 60. We get the time to be 40 minutes. So in 40 minutes the planes will have traveled a total of 440mi and will meet. 4 minutes before that is 36 minutes. At 36 minutes we can calculate the total distance traveled by using the same equation but switching the variables. First, we need to change back to hours by dividing 36 by 60 = .6 Then our x from our earlier equation is .6 and we have: .6*(360+240)=360 So in 36 minutes, which is 4 minutes before the planes meet, the planes have traveled 360 mi towards each other. If they started 440mi apart, after 36 minutes they are 440-360 = 80mi apart.

  18. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Haha, I think there is a slight mistake. the equation should be 600x=440.

  19. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Anyway, I think the problem can be solved in much simpler way, since the planes are not accelerating (a=0). The distance 4 minutes before meeting is the same as the distance they will move in 4 minutes. That's 4(360/60 + 240/60)=4(10)=40 miles.

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh. You're so smart. I just like making things complicated.

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks for the compliment.:) You're smart too.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.