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

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Question: A can finish a race in 100 seconds, while B finishes it in 120 seconds. What percentage faster is A than B?

Options:

Correct Answer: 25%

Solution:

Speed of A = 1/100, Speed of B = 1/120. Percentage faster = ((120 - 100) / 120) * 100 = 16.67%.

A can finish a race in 100 seconds, while B finishes it in 120 seconds. What percentage faster is A than B?

A can finish a race in 100 seconds, while B finishes it in 120 seconds. What percentage faster is A than B?

Step 1: Understand that A finishes the race in 100 seconds and B finishes it in 120 seconds.
Step 2: Calculate the speed of A. Speed of A = 1 divided by time taken by A = 1/100.
Step 3: Calculate the speed of B. Speed of B = 1 divided by time taken by B = 1/120.
Step 4: To find out how much faster A is than B, we need to compare their speeds.
Step 5: Calculate the difference in time taken by A and B. Difference = 120 seconds (B) - 100 seconds (A) = 20 seconds.
Step 6: To find the percentage faster, use the formula: (Difference in time / Time taken by B) * 100.
Step 7: Substitute the values: (20 / 120) * 100.
Step 8: Calculate the result: (20 / 120) = 0.1667, then multiply by 100 to get 16.67%.
Step 9: Conclude that A is 16.67% faster than B.

Speed Calculation – Understanding how to calculate speed as the inverse of time taken to complete a task.
Percentage Difference – Calculating the percentage difference between two values to determine how much one is faster than the other.