A bus covers the first 10km of its journey at an average speed of 40 km/hr and the remaining 45 km at an average speed of 60 km/hr. The average speed of the bus for its total journey is-a)52.2 km/hb)55 km /hc)50km/hd)57.5km/hCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Solution:

To find the average speed of the bus for the total journey, we will use the formula:

Average Speed = Total Distance / Total Time

Let us first calculate the time taken by the bus to cover the first 10 km at a speed of 40 km/hr:

Time taken = Distance / Speed = 10 / 40 = 0.25 hours

Similarly, let us calculate the time taken by the bus to cover the remaining 45 km at a speed of 60 km/hr:

Time taken = Distance / Speed = 45 / 60 = 0.75 hours

Total time taken by the bus for the entire journey = 0.25 + 0.75 = 1 hour

Now, let us calculate the total distance covered by the bus:

Total Distance = Distance covered in first 10 km + Distance covered in remaining 45 km = 10 + 45 = 55 km

Putting the values in the formula, we get:

Average Speed = Total Distance / Total Time = 55/1 = 55 km/hr

Hence, the average speed of the bus for its total journey is 55 km/hr. Therefore, option (b) is the correct answer.

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