Category: Spatial Reasoning
Difficulty: Medium
Result: Wrong
10. Two men, starting at the same point, walk in opposite directions for 8 meters, turn left and walk another 6 meters. What is the distance between them?
- 10 meters
- 14 meters
- 20 meters◀ Correct Answer
- 28 meters
- 30 meters
Your Answer: No Answer Given
To solve this problem, we need to calculate the straight-line distance between two men who walk in opposite directions, turn left, and walk again. Here's the breakdown:
Breakdown:
Both men walk 8 meters in opposite directions, which means the total horizontal distance between them is:
- 8 meters (one to the left) + 8 meters (one to the right) = 16 meters horizontally.
After turning left, each man walks 6 meters, but since they are walking in opposite directions after turning, the vertical distance between them is:
- 6 meters (one man up) + 6 meters (the other man down) = 12 meters vertically.
Now, using the Pythagorean theorem to calculate the straight-line distance between them:
Pythagorean Theorem:
We have a right triangle with:
- Horizontal leg = 16 meters
- Vertical leg = 12 meters
The distance (hypotenuse) between the two men is:
Distance = √(16*16 + 12*12) = √(256 + 144) = √400 = 20 meters.
Therefore, the correct answer is 20 meters.