A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

Mark went rock climbing on Saturday on Mt. Rockytop. He started at 10:00 a.m. and climbed at the rate of 4 miles per hour. His friend Paul began climbing at noon, climbing at a rate of 5 miles per hour. At what time would Paul catch up to Mark

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

    anybody know??

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

    1:00 PM? 8:00PM? 9:00PM? 16:00PM

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

    Let t=Mark's time spent going up the mountain. Then Mark's distance up the mountain is 4t. (rate * time=distance). Since Paul's started two hours later, t-2 is the amount of time that Paul spends going up the mountain. (He is 2 hours behind Mark) So Paul's distance up the mountain is 5(t-2). Set the two distances equal: 4t=5t-10. So t=10. Since t is the amount of time it took Mark to go up the mountain, we can say that t=0 is at 10:00AM, when he started. So t=10 is 8:00PM. And to check, after 10 hours, Mark is 4*10, or 40 miles up the mountain. And after 8 hours, Paul is 5*8=40 miles up the mountain.

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

    10 hours after Mark started is 8:00PM, and 8 hours after Paul started is also 8:00PM. Therefore, at 8:00PM, they are at the same height.

  5. 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.