If A can run a distance in 40 minutes and B can run the same distance in 60 minu

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Question: If A can run a distance in 40 minutes and B can run the same distance in 60 minutes, what is the ratio of their speeds?

Options:

Correct Answer: 3:2

Solution:

Speed is inversely proportional to time. Ratio of speeds = 60:40 = 3:2.

If A can run a distance in 40 minutes and B can run the same distance in 60 minutes, what is the ratio of their speeds?

If A can run a distance in 40 minutes and B can run the same distance in 60 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 40 minutes to run the distance, so A's speed is 1/40 (distance per minute).
Step 4: B takes 60 minutes to run the same distance, so B's speed is 1/60 (distance per minute).
Step 5: To find the ratio of their speeds, we compare 1/40 to 1/60.
Step 6: The ratio of speeds can be found by taking the inverse of their times: 60 (B's time) to 40 (A's time).
Step 7: Simplify the ratio 60:40 by dividing both numbers by 20, which gives us 3:2.
Step 8: Therefore, the ratio of their speeds is 3:2.

Speed and Time Relationship – Speed is calculated as distance divided by time, and it is inversely proportional to the time taken to cover the same distance.
Ratio Calculation – Understanding how to express the relationship between two quantities as a ratio.