Ram and Sita walk toward each other along a 160 km road at 8 km/h and 2 km/h, respectively. How many hours until they meet?

Difficulty: Easy

Correct Answer: 16 h

Explanation:

Introduction / Context:Meeting time problems use the sum of approach speeds. Here, walking speeds are constant and the road is straight with fixed length 160 km.

Given Data / Assumptions:

  • Distance = 160 km.
  • Speeds: 8 km/h (Ram) and 2 km/h (Sita).

Concept / Approach:Closing speed = 8 + 2 = 10 km/h. Time = distance / closing speed.

Step-by-Step Solution:

Time = 160 / 10 = 16 h.

Verification / Alternative check:Distances covered at meeting: 8 * 16 = 128 km and 2 * 16 = 32 km; sum = 160 km.

Why Other Options Are Wrong:8/10/20 h correspond to wrong closing speeds or distances.

Common Pitfalls:Subtracting speeds instead of adding for opposite directions.

Final Answer:16 h

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