If a train travels 300 km in 4 hours, what is the percentage increase in speed i

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Question: If a train travels 300 km in 4 hours, what is the percentage increase in speed if it travels the same distance in 3 hours?

Options:

Correct Answer: 33.33%

Solution:

Initial speed = 300 km / 4 hours = 75 km/h. New speed = 300 km / 3 hours = 100 km/h. Percentage increase = ((100 - 75) / 75) * 100 = 33.33%.

If a train travels 300 km in 4 hours, what is the percentage increase in speed if it travels the same distance in 3 hours?

If a train travels 300 km in 4 hours, what is the percentage increase in speed if it travels the same distance in 3 hours?

Step 1: Calculate the initial speed of the train by dividing the distance (300 km) by the time (4 hours).
Step 2: Initial speed = 300 km / 4 hours = 75 km/h.
Step 3: Calculate the new speed of the train by dividing the same distance (300 km) by the new time (3 hours).
Step 4: New speed = 300 km / 3 hours = 100 km/h.
Step 5: Find the difference in speed by subtracting the initial speed from the new speed: 100 km/h - 75 km/h.
Step 6: Difference in speed = 25 km/h.
Step 7: Calculate the percentage increase in speed by using the formula: (Difference in speed / Initial speed) * 100.
Step 8: Percentage increase = (25 km/h / 75 km/h) * 100.
Step 9: Calculate the final percentage increase: (25 / 75) * 100 = 33.33%.

Speed Calculation – Understanding how to calculate speed as distance divided by time.
Percentage Increase – Calculating the percentage increase using the formula: ((new value - old value) / old value) * 100.