If a train travels 240 km in 3 hours, what is the percentage increase in speed i

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Question: If a train travels 240 km in 3 hours, what is the percentage increase in speed if it travels the same distance in 2 hours?

Options:

Correct Answer: 25%

Solution:

Initial Speed = 240 km / 3 hours = 80 km/h; New Speed = 240 km / 2 hours = 120 km/h; Percentage Increase = ((120 - 80) / 80) * 100 = 50%.

If a train travels 240 km in 3 hours, what is the percentage increase in speed if it travels the same distance in 2 hours?

If a train travels 240 km in 3 hours, what is the percentage increase in speed if it travels the same distance in 2 hours?

Step 1: Calculate the initial speed of the train by dividing the distance (240 km) by the time (3 hours).
Step 2: Initial Speed = 240 km / 3 hours = 80 km/h.
Step 3: Calculate the new speed of the train by dividing the same distance (240 km) by the new time (2 hours).
Step 4: New Speed = 240 km / 2 hours = 120 km/h.
Step 5: Find the difference in speed by subtracting the initial speed (80 km/h) from the new speed (120 km/h).
Step 6: Difference in Speed = 120 km/h - 80 km/h = 40 km/h.
Step 7: Calculate the percentage increase in speed by dividing the difference in speed (40 km/h) by the initial speed (80 km/h).
Step 8: Percentage Increase = (40 km/h / 80 km/h) * 100.
Step 9: Simplify the calculation: (0.5) * 100 = 50%.

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.