A community for students.
Here's the question you clicked on:
 0 viewing
FoolForMath
 2 years ago
Logic puzzle
A sage stays atop a mountain in the Himalayas. Every morning he starts at 5:00 and reaches the foothills at 9:00. He travels nonuniformly, walking leisurely at times and at times breaking into a trot. He also takes rest at some points, but never digresses from his path. In the evening he starts at 5:00 to climb up in the same manner on the exact same path and reaches the top exactly at 9:00.
On any given day, will the sage be at any point on his route at the same time in the morning and evening?
Explain your answer.
FoolForMath
 2 years ago
Logic puzzle A sage stays atop a mountain in the Himalayas. Every morning he starts at 5:00 and reaches the foothills at 9:00. He travels nonuniformly, walking leisurely at times and at times breaking into a trot. He also takes rest at some points, but never digresses from his path. In the evening he starts at 5:00 to climb up in the same manner on the exact same path and reaches the top exactly at 9:00. On any given day, will the sage be at any point on his route at the same time in the morning and evening? Explain your answer.

This Question is Open

blockcolder
 2 years ago
Best ResponseYou've already chosen the best response.8Yep. If you ask another person to go the same route in the evening as the sage does in the morning but he starts from the top, they will meet regardless of how they travel.

Shane_B
 2 years ago
Best ResponseYou've already chosen the best response.0I've read it a few times and unless I'm misunderstanding the question, I believe the answer is no. The question states he travels nonuniformly: It always takes him 4 hours to get there but his speed varies throughout the trip...so neither his velocity or acceleration are constant.

Outkast3r09
 2 years ago
Best ResponseYou've already chosen the best response.0It's possible however very unlikely

Zarkon
 2 years ago
Best ResponseYou've already chosen the best response.0Looks like an IVT problem
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.