How Do a Dog and Man Walking at Different Speeds Meet Along a 1km Path?

  • Thread starter lab-rat
  • Start date
In summary, the problem involves a man and a dog walking towards each other from two points. The dog walks twice as fast as the man. They continue walking back and forth between the points, meeting multiple times. The first meeting point is 2/3 km from point A. The pattern observed is that the distance between the meeting points decreases by 2/3 km each time. Using straight line graphs, we could plot the distance (y-axis) vs time (x-axis) for both the man and the dog, and the points where the lines intersect would represent the meeting points. The 134th meeting point would be 2/3 km away from the 133rd meeting point.
  • #1
lab-rat
44
0
The distance between point A and B is 1km. A dog and man start walking at the same time from point A toward point B. They will keep walking (if reached B then walk back toward A immediately, and if reached A then walk back toward B immediately, so on).

1.Given that the dog walks twice as fast as the man does.
(a) Where do they meet the first time? Show your reasoning.
(b) Where do they meet the second time? The third time? Show your reasoning.
(c) Any pattern observed?
(d) Where do they meet the 134th time?

I think I have (a) done, not sure though.
total distance = Vman x t + Vdog x t = 2
= Vman x t = 2Vman x t = 2
=3Vmant x t = 2
d=2/3 km

Not sure what to do next?? Thanks in advance!
 
Physics news on Phys.org
  • #2
How do you suppose you could represnet this problem using straight line graphs?
 
  • #3
genericusrnme said:
How do you suppose you could represnet this problem using straight line graphs?

Nice hint.
 

FAQ: How Do a Dog and Man Walking at Different Speeds Meet Along a 1km Path?

What is a distance problem?

A distance problem is a type of mathematical problem that involves finding the distance between two points or the rate of change in distance over time.

How do I solve a distance problem?

To solve a distance problem, you will need to use the distance formula, which is d = rt (distance = rate x time). You will also need to identify the given information and use algebraic equations to solve for the missing variable.

Can you provide an example of a distance problem?

Sure! An example of a distance problem would be: "A car travels at a constant speed of 60 miles per hour. How long will it take to travel 300 miles?" In this problem, the rate is 60 mph and the distance is 300 miles. To find the time, we can use the formula t = d/r, so the car will take 5 hours to travel 300 miles.

What are some common mistakes when solving distance problems?

Some common mistakes when solving distance problems include forgetting to convert units, using the wrong formula, and not properly identifying the given information. It is important to carefully read and understand the problem before attempting to solve it.

Can distance problems be applied to real-world situations?

Yes, distance problems can be applied to real-world situations such as calculating the distance traveled by a vehicle, determining the speed of a moving object, or finding the time it takes to travel a certain distance. They are also used in fields such as physics, engineering, and economics.

Similar threads

MHB Calculating Distance for Woman & Dog Walking Home
Replies
5
Views
966
Uniform Motion in 2D - A man chasing a bus
Replies
20
Views
796
Two launches ferrying between two landing stations along a river
Replies
23
Views
867
Shortest distance along the shore and into the lake
Replies
6
Views
553
Two cyclists ride between a pair of towns with and against the wind
Replies
17
Views
713
How do I find the time taken by dogs to meet each other?
Replies
31
Views
3K
Distance a platform moves when a person walks on it
Replies
3
Views
1K
Two balls, dropped with a delay of ##\Delta t##, meet after rebound
Replies
34
Views
1K
Function Question - Walking and Rowing
Replies
6
Views
5K
How Can a Ship Safely Brake in Space Without Crushing Its Inhabitants?
3
Replies
90
Views
8K

Hot Threads

Recent Insights

Back
Top