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Excluding stoppages, the speed of a bus ...

Excluding stoppages, the speed of a bus is 60 km/h and including stoppages, it is 51 km/h. For how many minutes does the bus stop per hour?

A

9

B

12

C

8

D

10

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine how many minutes the bus stops per hour based on its speeds excluding and including stoppages. ### Step-by-Step Solution: 1. **Identify the Speeds**: - Speed excluding stoppages = 60 km/h - Speed including stoppages = 51 km/h 2. **Calculate the Distance Covered in One Hour**: - At a speed of 60 km/h, the distance covered in one hour (without stoppages) is 60 km. - At a speed of 51 km/h, the distance covered in one hour (including stoppages) is 51 km. 3. **Determine the Difference in Distance**: - The difference in distance due to stoppages = Distance without stoppages - Distance with stoppages - Difference = 60 km - 51 km = 9 km 4. **Calculate the Time Lost Due to Stoppages**: - The bus covers 9 km less in the hour due to stoppages. - To find out how long the bus stops, we need to determine how long it would take to cover the 9 km at the speed of 60 km/h. - Time = Distance / Speed = 9 km / 60 km/h = 0.15 hours 5. **Convert Time from Hours to Minutes**: - Since 1 hour = 60 minutes, we convert 0.15 hours to minutes. - Time in minutes = 0.15 hours × 60 minutes/hour = 9 minutes ### Conclusion: The bus stops for **9 minutes** per hour.
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