If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25

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Question: If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25 km/h, what is the average speed for the entire journey?

Options:

35 km/h
40 km/h
45 km/h
50 km/h

Correct Answer: 40 km/h

Solution:

Total distance = 150 + 100 = 250 km. Total time = (150/50) + (100/25) = 3 + 4 = 7 hours. Average speed = Total distance / Total time = 250 km / 7 hours ≈ 35.71 km/h.

If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25

Practice Questions

If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25 km/h, what is the average speed for the entire journey?

35 km/h
40 km/h
45 km/h
50 km/h

Questions & Step-by-Step Solutions

If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25 km/h, what is the average speed for the entire journey?

Step 1: Calculate the total distance traveled by adding the two distances: 150 km + 100 km.
Step 2: Calculate the total distance: 150 + 100 = 250 km.
Step 3: Calculate the time taken for the first part of the journey by dividing the distance by the speed: 150 km / 50 km/h.
Step 4: Calculate the time for the first part: 150 / 50 = 3 hours.
Step 5: Calculate the time taken for the second part of the journey by dividing the distance by the speed: 100 km / 25 km/h.
Step 6: Calculate the time for the second part: 100 / 25 = 4 hours.
Step 7: Calculate the total time by adding the two times: 3 hours + 4 hours.
Step 8: Calculate the total time: 3 + 4 = 7 hours.
Step 9: Calculate the average speed by dividing the total distance by the total time: 250 km / 7 hours.
Step 10: Calculate the average speed: 250 / 7 ≈ 35.71 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 related to motion.

If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25

What’s inside this PDF?

If a train travels 150 km at a speed of 50 km/h and then 100 km at a speed of 25

Practice Questions

Questions & Step-by-Step Solutions

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