Two parallel paths 20 m apart run east-west through the woods. Brooke walks east on one path at 6 km/h, while Jamail walks west on the other path at 4 km/h. If they pass each other at time t = 0, how far apart are they 13 s later, and how fast is the distance between them changing at that moment? (Use decimal notation. Give your answer to three decimal places.) distance between them: meters dL m/s dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Problem Statement

Two parallel paths 20 meters apart run east–west through the woods. Brooke walks east on one path at 6 kilometers per hour, while Jamail walks west on the other path at 4 kilometers per hour. If they pass each other at time \( t = 0 \), how far apart are they 13 seconds later, and how fast is the distance between them changing at that moment?

(Use decimal notation. Give your answer to three decimal places.)

**Questions:**

* **Distance between them (in meters):** 
\[ \boxed{} \]

* **Rate of change of the distance between them (\(\frac{dL}{dt}\)) (in meters per second):**
\[ \boxed{} \]
Transcribed Image Text:### Problem Statement Two parallel paths 20 meters apart run east–west through the woods. Brooke walks east on one path at 6 kilometers per hour, while Jamail walks west on the other path at 4 kilometers per hour. If they pass each other at time \( t = 0 \), how far apart are they 13 seconds later, and how fast is the distance between them changing at that moment? (Use decimal notation. Give your answer to three decimal places.) **Questions:** * **Distance between them (in meters):** \[ \boxed{} \] * **Rate of change of the distance between them (\(\frac{dL}{dt}\)) (in meters per second):** \[ \boxed{} \]
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