A bus travels at a speed of 50 km per hour to go from its origin to its destination at a distance of 300 km and travels at a speed of 60 km per hour to return to the origin. What is the average speed of the bus?

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Q: 47 (CDS-II/2012)
A bus travels at a speed of 50 km per hour to go from its origin to its destination at a distance of 300 km and travels at a speed of 60 km per hour to return to the origin. What is the average speed of the bus?

question_subject: 

Maths

question_exam: 

CDS-II

stats: 

0,11,13,11,6,7,0

keywords: 

{'average speed': [0, 2, 4, 2], 'bus': [0, 0, 1, 1], 'km': [0, 0, 2, 1], 'speed': [0, 1, 2, 0], 'distance': [0, 3, 3, 3], 'hour': [5, 5, 11, 12], 'destination': [0, 2, 2, 3]}

To find the average speed of the bus, we need to consider the total distance traveled and the total time taken.

In this case, the bus travels a total distance of 300 km from the origin to the destination and then returns back to the origin.

Let`s calculate the total time taken for the journey.

For the first leg of the journey, the bus travels at a speed of 50 km per hour. So, the time taken to cover the distance from the origin to the destination is 300/50 = 6 hours.

For the return leg of the journey, the bus travels at a speed of 60 km per hour. So, the time taken to cover the distance from the destination to the origin is 300/60 = 5 hours.

The total time taken for the journey is 6 + 5 = 11 hours.

Now, let`s calculate the average speed by dividing the total distance traveled (600 km) by the total time taken (11 hours).

Average speed = 600/11 = 54.55 km per hour.

Therefore, the correct answer is option 1: 54.55 km per hour.

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