Posted by **HELP!!! ** on Tuesday, May 21, 2013 at 6:10am.

Six children are standing along the x-axis at points (0,0), (17,0), (40,0), (85,0), (173,0), (440,0). The children decide to meet at some point along the x-axis. What is the minimum total distance the children must walk in order to meet?

- MAThs -
**Steve**, Tuesday, May 21, 2013 at 11:28am
If they meet at (x,0) then the distance is

x+|x-17|+|x-40|+|x-85|+|x-173|+|x-440|

It is clear that for 40<=x<=85, the distance is constant. As x increases in that interval, the three leftmost terms all increase by 1, and the three rightmost terms all decrease by 1.

Outside that interval, there are more terms that increase than decrease, so the total distance increases.

So, the minimum distance occurs for 40<=x<=85, where it is 641

## Answer This Question

## Related Questions

- SIXTH GRADE MATH - The ratio of boys to girls at a day care cent is 5 to 4. ...
- college maths - In amusement park considering adding some new attractions,...
- literature for kids - Which is NOT a benefit of sharing books to young children...
- Help please edu. - Young children with autism: A. Will never talk B. relate to ...
- Math probabilty - An amusement park, Dino World, considering adding some new ...
- maths - 30 children are going on a trip. It costs £5 including lunch. Some ...
- maths - Tickets for the Universal Studios amusement park are priced at $32 for ...
- physics - Two children hang by their hands from the same tree branch. The branch...
- physics - Two children hang by their hands from the same tree branch. The branch...
- physics - Two children hang by their hands from the same tree branch. The branch...

More Related Questions