4) A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. About how many minutes does it take? Explain your reasoning.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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question number 4 please
**PHASE 2:**

A path goes around a triangular park, as illustrated in the diagram.

**Diagram Explanation:**
- The diagram is a grid with the x-axis labeled "Distance (yd)" and the y-axis labeled "Distance (yd)" as well.
- Key points in the triangle are labeled P, Q, and R, forming a right triangle shape.
- Coordinates for these points need to be examined relative to the grid.

**Tasks:**

1) Determine the coordinates of point S on the directed line segment \( PR \) that divides the segment in the ratio 2 to 1.

2) Calculate the distance around the park to the nearest yard.

3) A new path and a bridge are constructed from point Q to the midpoint M of \( PR \). Calculate QM to the nearest yard.

4) A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. Approximately how many minutes does it take? Explain your reasoning.
Transcribed Image Text:**PHASE 2:** A path goes around a triangular park, as illustrated in the diagram. **Diagram Explanation:** - The diagram is a grid with the x-axis labeled "Distance (yd)" and the y-axis labeled "Distance (yd)" as well. - Key points in the triangle are labeled P, Q, and R, forming a right triangle shape. - Coordinates for these points need to be examined relative to the grid. **Tasks:** 1) Determine the coordinates of point S on the directed line segment \( PR \) that divides the segment in the ratio 2 to 1. 2) Calculate the distance around the park to the nearest yard. 3) A new path and a bridge are constructed from point Q to the midpoint M of \( PR \). Calculate QM to the nearest yard. 4) A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. Approximately how many minutes does it take? Explain your reasoning.
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