A train travels 60 km at a speed of 30 km/h and then travels another 60 km at a
Practice Questions
Q1
A train travels 60 km at a speed of 30 km/h and then travels another 60 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2020)
40 km/h
45 km/h
50 km/h
55 km/h
Questions & Step-by-Step Solutions
A train travels 60 km at a speed of 30 km/h and then travels another 60 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2020)
Step 1: Calculate the total distance traveled by the train. The train travels 60 km in the first part and 60 km in the second part. So, total distance = 60 km + 60 km = 120 km.
Step 2: Calculate the time taken for the first part of the journey. The speed is 30 km/h, and the distance is 60 km. Time = distance / speed = 60 km / 30 km/h = 2 hours.
Step 3: Calculate the time taken for the second part of the journey. The speed is 60 km/h, and the distance is 60 km. Time = distance / speed = 60 km / 60 km/h = 1 hour.
Step 4: Calculate the total time for the entire journey. Total time = time for first part + time for second part = 2 hours + 1 hour = 3 hours.
Step 5: Calculate the average speed of the train for the entire journey. Average speed = total distance / total time = 120 km / 3 hours = 40 km/h.
Average Speed Calculation – The average speed is calculated by dividing the total distance traveled by the total time taken.
Time and Speed Relationship – Understanding how to calculate time based on distance and speed is crucial for solving problems involving average speed.
