A bus runs at 54 km/h when moving (no stoppage) but averages 45 km/h including stops. On average, how many minutes per hour does the bus stop?

Difficulty: Easy

Correct Answer: 10 min

Explanation:

Introduction / Context:As with trains, the difference between running speed and overall average indicates stoppage time. Compute moving time t per hour, then convert the idle portion to minutes.

Given Data / Assumptions:

  • Running speed = 54 km/h.
  • Overall average = 45 km/h across 1 clock-hour.

Concept / Approach:Let moving time = t hours. Then 54t = 45 ⇒ t = 45/54 = 5/6 h = 50 min. Stoppage = 10 min per hour.

Step-by-Step Solution:

54t = 45 ⇒ t = 5/6 h = 50 min.Stop time/hour = 60 − 50 = 10 min.

Verification / Alternative check:Distance in 50 minutes at 54 km/h is 45 km; over 60 minutes this averages 45 km/h.

Why Other Options Are Wrong:4, 6, 8, 12 minutes correspond to wrong t values.

Common Pitfalls:Arithmetic mean mistakes; not converting fractional hours to minutes properly.

Final Answer:10 min

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