A can run a distance in 30 minutes, while B takes 45 minutes. What is the ratio

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Question: A can run a distance in 30 minutes, while B takes 45 minutes. What is the ratio of their speeds?

Options:

Correct Answer: 3:2

Solution:

Speed is inversely proportional to time. Ratio of speeds = 45:30 = 3:2.

A can run a distance in 30 minutes, while B takes 45 minutes. What is the ratio of their speeds?

A can run a distance in 30 minutes, while B takes 45 minutes. What is the ratio of their speeds?

Step 1: Understand that speed is calculated as distance divided by time.
Step 2: Since both A and B run the same distance, we can compare their speeds based on the time they take.
Step 3: A takes 30 minutes to run the distance, while B takes 45 minutes.
Step 4: Write the times taken by A and B: A = 30 minutes, B = 45 minutes.
Step 5: To find the ratio of their speeds, we take the inverse of their times: Speed is inversely proportional to time.
Step 6: Set up the ratio of their speeds: Speed of A : Speed of B = 45 : 30.
Step 7: Simplify the ratio 45:30 by dividing both numbers by 15, which gives us 3:2.

Speed and Time Relationship – Speed is calculated as distance divided by time, and when comparing two speeds, the ratio can be derived from their respective times.
Ratio Calculation – Understanding how to simplify ratios and the relationship between two quantities.