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

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Question: A can finish a race in 100 seconds while B can finish 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 = ((1/100 - 1/120) / (1/120)) * 100 = 20%.

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

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

Step 1: Determine the time taken by A to finish the race, which is 100 seconds.
Step 2: Determine the time taken by B to finish the race, which is 120 seconds.
Step 3: Calculate the speed of A by using the formula: Speed = 1 / Time. So, Speed of A = 1 / 100.
Step 4: Calculate the speed of B using the same formula: Speed of B = 1 / 120.
Step 5: Find the difference in speed between A and B: Speed difference = Speed of A - Speed of B.
Step 6: Substitute the values: Speed difference = (1 / 100) - (1 / 120).
Step 7: To calculate the percentage faster, use the formula: Percentage faster = (Speed difference / Speed of B) * 100.
Step 8: Substitute the values into the formula: Percentage faster = ((1/100 - 1/120) / (1/120)) * 100.
Step 9: Calculate the final result to find that A is 20% 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.