To find the average speed of the bus during the entire journey, we need to calculate the total distance traveled and the total time taken.
Given: Distance traveled in the first part of the journey = 150 km Speed in the first part of the journey = 30 km/h
Distance traveled in the second part of the journey = 60 km Speed in the second part of the journey = 40 km/h
To calculate the average speed, we'll use the formula:
Average speed = Total distance / Total time
First, let's calculate the time taken for each part of the journey.
Time taken in the first part of the journey: Time = Distance / Speed Time = 150 km / 30 km/h Time = 5 hours
Time taken in the second part of the journey: Time = Distance / Speed Time = 60 km / 40 km/h Time = 1.5 hours
Now, let's calculate the total distance and total time for the entire journey.
Total distance = Distance of the first part + Distance of the second part Total distance = 150 km + 60 km Total distance = 210 km
Total time = Time taken in the first part + Time taken in the second part Total time = 5 hours + 1.5 hours Total time = 6.5 hours
Finally, let's calculate the average speed:
Average speed = Total distance / Total time Average speed = 210 km / 6.5 hours Average speed ≈ 32.31 km/h (rounded to two decimal places)
Therefore, the average speed of the bus during the entire journey is approximately 32.31 km/h.