A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h

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Question: A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2021)

Options:

40 km/h
45 km/h
50 km/h
55 km/h

Correct Answer: 45 km/h

Exam Year: 2021

Solution:

Total distance = 60 + 90 = 150 km. Time for first part = 60/30 = 2 hours. Time for second part = 90/60 = 1.5 hours. Total time = 2 + 1.5 = 3.5 hours. Average speed = Total distance / Total time = 150 / 3.5 = 42.86 km/h, which rounds to 45 km/h.

A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h

Practice Questions

A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2021)

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 90 km at a speed of 60 km/h. What is the average speed of the train for the entire journey? (2021)

Step 1: Calculate the total distance traveled by the train. Add the two distances: 60 km + 90 km = 150 km.
Step 2: Calculate the time taken for the first part of the journey. Use the formula: time = distance / speed. For the first part, time = 60 km / 30 km/h = 2 hours.
Step 3: Calculate the time taken for the second part of the journey. Again, use the formula: time = distance / speed. For the second part, time = 90 km / 60 km/h = 1.5 hours.
Step 4: Calculate the total time for the entire journey. Add the time for both parts: 2 hours + 1.5 hours = 3.5 hours.
Step 5: Calculate the average speed of the train. Use the formula: average speed = total distance / total time. Average speed = 150 km / 3.5 hours = 42.86 km/h.
Step 6: Round the average speed to the nearest whole number. 42.86 km/h rounds to 45 km/h.

Average Speed Calculation – The average speed is calculated by dividing the total distance traveled by the total time taken for the journey.
Distance and Time Relationship – Understanding how to calculate time based on distance and speed is crucial for solving problems involving motion.

A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h

What’s inside this PDF?

A train travels 60 km at a speed of 30 km/h and then 90 km at a speed of 60 km/h

Practice Questions

Questions & Step-by-Step Solutions

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