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#1 2012-12-28 22:34:38

scientia
Member
Registered: 2009-11-13
Posts: 222

Mandy and Sandy

This is my adaptation of a math problem I came across elsewhere on the Internet. smile


Mandy has just done her shopping at the shopping center; now she is hungry and wants to go to the restaurant for lunch. Sandy has just had something to eat at the restaurant; now she wants to go to the shopping center and buy some clothes. A park is situated between the shopping center and the restaurant. Mandy sets off from the shopping center at 2:00pm, walks through the park, and arrives at the restaurant at 2:30pm. Sandy leaves the restaurant at 1:43pm, takes the same route through the park (but in the opposite direction) and gets to the shopping center at 2:23pm. Both girls enter the park at the same time and Mandy leaves the park 4 minutes earlier than Sandy.

First question (easy): Find the time (to the nearest minute) at which both girls meet.

Last edited by scientia (2012-12-29 03:48:24)

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#2 2012-12-29 02:21:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,104

Re: Mandy and Sandy

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#3 2012-12-29 02:51:45

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Mandy and Sandy

Correct. up

Next question (harder): At what time did both girls enter the park?

Last edited by scientia (2012-12-29 03:47:52)

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#4 2012-12-29 03:13:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,104

Re: Mandy and Sandy

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#5 2012-12-29 03:21:45

scientia
Member
Registered: 2009-11-13
Posts: 222

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#6 2012-12-29 03:44:00

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,104

Re: Mandy and Sandy

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#7 2012-12-29 04:09:41

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Mandy and Sandy

I'm not sure you you did there. neutral Maybe part of my first post isn't very clear, so I'll try and explain.

The park has two ends, A and B, where A is the end closer to the shopping mall and B the end closer to the restaurant. The route taken by Mandy is: shopping mall → A → park → B → restaurant. Sandy's route is the reverse: restaurant → B → park → A → shopping mall. Thus when I say that the girls enter the park at the same time, I mean that Mandy reaches point A and Sandy reaches point B simultaneously.

Last edited by scientia (2012-12-29 04:11:47)

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#8 2012-12-29 04:25:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,104

Re: Mandy and Sandy

Hi;

View Image: 2012-12-29_082312.gif

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#9 2012-12-29 04:45:40

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 14,885

Re: Mandy and Sandy

Hi bobbym

I think that should be hidden...


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#10 2012-12-29 04:47:27

scientia
Member
Registered: 2009-11-13
Posts: 222

Re: Mandy and Sandy

Last edited by scientia (2012-12-29 05:37:50)

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#11 2012-12-29 05:19:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,104

Re: Mandy and Sandy

Hi;

Yes, that was a dilly.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

#12 2012-12-29 05:37:19

scientia
Member
Registered: 2009-11-13
Posts: 222

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#13 2012-12-29 05:41:01

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 83,104

Re: Mandy and Sandy

Hi;

A false step on the park size formula. Very good problem.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Online

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