A can finish a race in 100 seconds, while B can finish it in 120 seconds. What i

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Question: A can finish a race in 100 seconds, while B can finish it in 120 seconds. What is the percentage difference in their speeds?

Options:

Correct Answer: 25%

Solution:

Speed of A = distance/100, Speed of B = distance/120. Percentage difference = ((120 - 100) / 120) * 100 = 16.67%.

A can finish a race in 100 seconds, while B can finish it in 120 seconds. What is the percentage difference in their speeds?

A can finish a race in 100 seconds, while B can finish it in 120 seconds. What is the percentage difference in their speeds?

Step 1: Understand that speed is calculated as distance divided by time.
Step 2: Assume the distance of the race is the same for both A and B. Let's call this distance 'D'.
Step 3: Calculate the speed of A: Speed of A = D / 100 seconds.
Step 4: Calculate the speed of B: Speed of B = D / 120 seconds.
Step 5: To find the percentage difference in their speeds, we first need to find the actual speeds. Since we are comparing, we can use the time taken instead of calculating the actual speeds.
Step 6: The time taken by A is 100 seconds and by B is 120 seconds.
Step 7: Calculate the difference in time: Difference = 120 seconds - 100 seconds = 20 seconds.
Step 8: To find the percentage difference, divide the difference by the time taken by B: (20 seconds / 120 seconds).
Step 9: Multiply the result by 100 to convert it to a percentage: ((20 / 120) * 100).
Step 10: Calculate the final percentage: (20 / 120) = 0.1667, and 0.1667 * 100 = 16.67%.

Speed Calculation – Understanding how to calculate speed as distance divided by time.
Percentage Difference – Calculating the percentage difference between two values.