There is a cuboid room with dimensions 6m, 5m, 8m.

http://i876.photobucket.com/albums/ab324/rishavd/1.jpg

Find the shortest time taken by an ant inside the room, to go from A to B if the ant moves at a speed of 50cm/min

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- Oct 28th 2010, 02:41 AMrickrishavInteresting Problem: Geometry
There is a cuboid room with dimensions 6m, 5m, 8m.

http://i876.photobucket.com/albums/ab324/rishavd/1.jpg

Find the shortest time taken by an ant inside the room, to go from A to B if the ant moves at a speed of 50cm/min - Oct 28th 2010, 02:48 AMEducated
Can the ant walk directly there? Or does it have to walk on the walls?

The shortest distance that it has to travel if it has to walk on the walls is diagonally from the 2 longest sides and directly from the shortest side.

So the distance that it has to walk is - Oct 28th 2010, 03:07 AMbrennan
- Oct 28th 2010, 05:40 AMSoroban
Hello, rickrishav!

Quote:

There is a cuboid room with dimensions 6m, 5m, 8m.

Find the shortest time taken by an ant inside the room, to go from A to B

if the ant moves at a speed of 50 cm/min.

The ant will move right and upward on the front face,

then continue on the right face to

Code:`* - - - - * - - - * B`

| | * |

| | * |

| *| | 8

| * | |

| * | |

A * - - - - * - - - *

6 5

The distance is: .

At 50 m/min, it will take 27.2 minutes.

Brennan's answer has a typo; it should read 2**8**.6 minutes. - Oct 28th 2010, 06:16 AMbrennan