If A can complete a race in 40 minutes and B can complete it in 50 minutes, what

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Question: If A can complete a race in 40 minutes and B can complete it in 50 minutes, what is the ratio of their speeds?

Options:

Correct Answer: 5:4

Solution:

Speed is inversely proportional to time. Ratio of speeds = 50:40 = 5:4.

If A can complete a race in 40 minutes and B can complete it in 50 minutes, what is the ratio of their speeds?

If A can complete a race in 40 minutes and B can complete it in 50 minutes, what is the ratio of their speeds?

Step 1: Understand that speed is how fast someone can complete a race.
Step 2: Know that if someone takes less time to finish, they are faster.
Step 3: A takes 40 minutes to finish the race.
Step 4: B takes 50 minutes to finish the race.
Step 5: To find the ratio of their speeds, we look at their times.
Step 6: Since speed is inversely proportional to time, we can write the ratio of their speeds as the inverse of their times.
Step 7: Write the ratio of their times: B's time (50) to A's time (40).
Step 8: This gives us the ratio 50:40.
Step 9: Simplify the ratio 50:40 by dividing both numbers by 10, which gives us 5:4.
Step 10: Therefore, the ratio of their speeds is 5:4.

Speed and Time Relationship – Speed is inversely proportional to the time taken to complete a task; if one person takes longer, they are slower.
Ratio Calculation – Understanding how to calculate ratios based on given values.