A car travels 60 km/h for 1.5 hours. then it travels for 3 hours at 45km/h. After that, it covers 55km in 30 minutes. what is the average speed of the car for the entire journey
Question
A car travels 60 km/h for 1.5 hours. then it travels for 3 hours at 45km/h. After that, it covers 55km in 30 minutes. what is the average speed of the car for the entire journey
Solution
To find the average speed of the car for the entire journey, we need to calculate the total distance traveled and the total time taken.
Step 1: Calculate the distance traveled in the first part of the journey. Distance = Speed × Time Distance = 60 km/h × 1.5 hours Distance = 90 km
Step 2: Calculate the distance traveled in the second part of the journey. Distance = Speed × Time Distance = 45 km/h × 3 hours Distance = 135 km
Step 3: Calculate the distance traveled in the third part of the journey. Distance = 55 km
Step 4: Calculate the total distance traveled. Total Distance = Distance in Part 1 + Distance in Part 2 + Distance in Part 3 Total Distance = 90 km + 135 km + 55 km Total Distance = 280 km
Step 5: Calculate the total time taken. Total Time = Time in Part 1 + Time in Part 2 + Time in Part 3 Total Time = 1.5 hours + 3 hours + 0.5 hours Total Time = 5 hours
Step 6: Calculate the average speed. Average Speed = Total Distance / Total Time Average Speed = 280 km / 5 hours Average Speed = 56 km/h
Therefore, the average speed of the car for the entire journey is 56 km/h.
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