If A can finish a race in 45 seconds and B in 60 seconds, what is the percentage

If A can finish a race in 45 seconds and B in 60 seconds, what is the percentage difference in their speeds?

If A can finish a race in 45 seconds and B in 60 seconds, what is the percentage difference in their speeds?

Step 1: Determine the time taken by A and B to finish the race. A takes 45 seconds and B takes 60 seconds.
Step 2: Calculate the speeds of A and B. Speed is inversely proportional to time, so we can use the formula: Speed = 1 / Time.
Step 3: Calculate A's speed: Speed of A = 1 / 45 seconds.
Step 4: Calculate B's speed: Speed of B = 1 / 60 seconds.
Step 5: To compare their speeds, find a common ratio. Convert A's speed and B's speed to a ratio: A's speed : B's speed = (1/45) : (1/60).
Step 6: Simplify the ratio: (1/45) : (1/60) = 60 : 45, which simplifies to 4 : 3.
Step 7: Now, calculate the percentage difference in their speeds. Use the formula: Percentage difference = (Speed of A - Speed of B) / Speed of B * 100.
Step 8: Substitute the values: Percentage difference = (4 - 3) / 3 * 100.
Step 9: Calculate the result: (1 / 3) * 100 = 33.33%.

Speed Calculation – Understanding how to calculate speed as distance over time and how to compare speeds of two entities.
Percentage Difference – Calculating the percentage difference between two values, which involves understanding the formula for percentage difference.
Ratio Simplification – Simplifying ratios to compare two quantities effectively.