CE Brainache: Solve this puzzle
@thebigk
•
Oct 22, 2024
Oct 22, 2024
1.2K
[Note: Puzzle, Image taken from #-Link-Snipped-# ]
In the late 40’s a soldier named Mark entered accidentally a square mined field (point A)... Two friends of him, at the edge of the field, shouted him and asked to continue walking directly towards the shelter B made from sand bags...
![[IMG]](proxy.php?image=http%3A%2F%2Fwww.archimedes-lab.org%2Fim_maths%2Fmon_p_june_2k7.gif&hash=d27a4d4c6aab6396cf46447df5116012)
So, all together from different directions started going straight ahead to the shelter. The average walking speed of the three soldiers was habitually 6 km/h, but Mark while he was crossing the mined field walked carefully at an average speed of 3 km/h. The two friends, at the edge of the field, were separated from each other by approx. 1060 meters.
Nevertheless, all three arrived simultaneously at the shelter 10 minutes later. Can you indicate on the drawing where initially did Mark’s friends stand and what is the area of the mined field? To solve this puzzle use only basic geometry, trigonometry is not allowed.
<a href="https://www.archimedes-lab.org/page10b.html#co1" target="_blank" rel="noopener noreferrer">Puzzles of the Month</a>
In the late 40’s a soldier named Mark entered accidentally a square mined field (point A)... Two friends of him, at the edge of the field, shouted him and asked to continue walking directly towards the shelter B made from sand bags...
So, all together from different directions started going straight ahead to the shelter. The average walking speed of the three soldiers was habitually 6 km/h, but Mark while he was crossing the mined field walked carefully at an average speed of 3 km/h. The two friends, at the edge of the field, were separated from each other by approx. 1060 meters.
Nevertheless, all three arrived simultaneously at the shelter 10 minutes later. Can you indicate on the drawing where initially did Mark’s friends stand and what is the area of the mined field? To solve this puzzle use only basic geometry, trigonometry is not allowed.
<a href="https://www.archimedes-lab.org/page10b.html#co1" target="_blank" rel="noopener noreferrer">Puzzles of the Month</a>
