A bus travels at the rate of 54 km/h without stoppages and it travels at 45 km/h with stoppages. How many minutes does the bus stop on an average per hour?

Options

A. a. 8 min
B. b. 10 min
C. c. 12 min
D. d. 4 min

Answer

To solve the problem of how many minutes the bus stops on average per hour, we can follow these steps:

### Step 1: Understand the speeds
The bus travels at two different speeds:
- Without stoppages: 54 km/h
- With stoppages: 45 km/h

### Step 2: Calculate the distance traveled in one hour
Assuming the bus travels for one hour:
- Distance without stoppages = Speed × Time = 54 km/h × 1 h = 54 km
- Distance with stoppages = Speed × Time = 45 km/h × 1 h = 45 km

### Step 3: Determine the distance lost due to stoppages
The difference in distance traveled due to stoppages is:
- Distance lost = Distance without stoppages - Distance with stoppages
- Distance lost = 54 km - 45 km = 9 km

### Step 4: Calculate the time taken to cover the lost distance
To find out how long it takes to cover the lost distance of 9 km at the speed of 54 km/h:
- Time = Distance / Speed
- Time = 9 km / 54 km/h = 1/6 hours

### Step 5: Convert time from hours to minutes
To convert the time from hours to minutes:
- 1/6 hours = (1/6) × 60 minutes = 10 minutes

### Conclusion
The bus stops for an average of **10 minutes per hour**.

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