# Homework Help: 'Monk and the Monastery' problem

1. Sep 7, 2015

### Kingyou123

1. The problem statement, all variables and given/known data
Check attached image. Is there any point along the path that he passes at the same time each day

2. Relevant equations
None that I know of...

3. The attempt at a solution
The whiteboard image, I'm not sure if that's how the graph is suppose to look like.

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2. Sep 7, 2015

### Kingyou123

I do believe that there is a point where the monk would be at the same position at the same time at on both days, but how would I explain it without" saying look at my graph"?

3. Sep 7, 2015

### jbriggs444

Let's try to write down some equations. Suppose that you mark off time as hours since noon and you mark off position as current distance from the city. Can you write down an equation for the man's position in terms of time during the trip from city to monastery?

4. Sep 7, 2015

### Kingyou123

xf=x0+v0(t) t=hours and x= position

5. Sep 7, 2015

### jbriggs444

Can you write down v0 in terms of D?

6. Sep 7, 2015

### Kingyou123

If the velocity constant then the [v][/0] would be D/t

7. Sep 7, 2015

### jbriggs444

You may want to rethink that. In the equation you gave, t is a variable. But velocity is a constant.

8. Sep 7, 2015

xf=xo+x(t)?

9. Sep 7, 2015

### jbriggs444

Hint: You know how long it takes to get from the city to the monastery.

10. Sep 7, 2015

### Kingyou123

xf=xo+x(7), 7 is the number of hours from the office to the monastery.

Last edited: Sep 7, 2015
11. Sep 7, 2015

### jbriggs444

The problem statement specifies the value for xf.

12. Sep 7, 2015

### Kingyou123

D=0+v(7) would the second equation be D=D+v(3)?

13. Sep 7, 2015

### Kingyou123

The thing that confuses me is what to solve for, D?

14. Sep 7, 2015

### jbriggs444

Refer to post #5.

15. Sep 7, 2015

### Kingyou123

V0=(xf-x0)/t

16. Sep 7, 2015

### jbriggs444

What is x0? What is xf? And, for that matter, what is t?

17. Sep 7, 2015

### Kingyou123

t= times from office to monastery or time from monastery to office
xf=is the distance between the monastery and office
x0=is zero since its the starting distance

18. Sep 7, 2015

### jbriggs444

Given that t=7 and xf-x0 = D, can you simplify the formula for the velocity on the trip from office to monastery?

19. Sep 7, 2015

### Kingyou123

I already figure out that step the two formulas set equal to each other would be (D/7)(t)=D-(D/3)t. My answer is 2.1 hours, I'm just having trouble finding the formula to plug it in. Sorry for being confused, in post #6 I had v0= D/t and I thought you meant it was wrong so I completely threw out that answer.