Question 1043954
.
Hello,distance and time are not really my strong points...
Winnie and Piglet decided to visit one another and set off at the same time to each others house. When they met on the road 
joining their houses, they forgot that they wanted to see each other and continued walking. Winnie reached Piglet's house 
8 minutes after the meeting and Piglet got to Winnie's house 18 minutes after the meeting. 
How long did it take Piglet to reach Pooh's house from the time he left his own house?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
Let {{{V[w]}}} be Winnie's speed and {{{V[p]}}} be Piglet's speed.

Let {{{t}}} be the time from the start to the meeting moment.

Then you have these equations

{{{V[w]*t}}} = {{{W[p]*18}}},   (1)   and
{{{V[p]*t}}} = {{{W[w]*8}}}.    (2)

It implies 

{{{V[w]/W{p]}}} = {{{18/t}}},         (1')   ( from (1) ) and
{{{V[w]/V[p]}}} = {{{t/8}}}.          (2')   ( from (2) ).

Hence,  {{{18/t}}} = {{{t/8}}},  and then  {{{t^2}}} = {{{18*8}}} = {{{144}}}.

Therefore, t = {{{sqrt(144)}}} = 12.

In other words, it took 12 minutes from the start to the meeting moment.

Then the total time for Piglet to reach Pooh's house was 12 + 18 minutes = 30 minutes.

<U>Answer</U>.  The total time for Piglet to reach Pooh's house was 12 + 18 minutes = 30 minutes.

</pre>

This problem is very similar to that of the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/Another-unusual-Travel-problem.lesson>Another unusual Travel problem (Arnold's problem on two walking old women)</A> 

in this site.


For lessons on Travel and Distance consult 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/OVERVIEW-of-lessons-on-Travel-and-Distance.lesson>OVERVIEW of lessons on Travel and Distance</A>

in this site.


You also have free of charge online Textbook in Algebra-I 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>

in this site.