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

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

If A can complete a race in 40 seconds and B can complete it in 50 seconds, 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 A completes the race in 40 seconds, and B completes it in 50 seconds, we can find their speeds based on the time taken.
Step 3: Remember that speed is inversely proportional to time. This means that if time increases, speed decreases.
Step 4: Write down the times: A's time = 40 seconds, B's time = 50 seconds.
Step 5: To find the ratio of their speeds, we take the times and write them as a ratio: B's time : A's time = 50 : 40.
Step 6: Simplify the ratio 50:40 by dividing both numbers by 10, which gives us 5:4.
Step 7: Conclude that the ratio of their speeds is 5:4.

Speed and Time Relationship – Speed is inversely proportional to the time taken to complete a task; shorter time means higher speed.
Ratio Calculation – Understanding how to calculate ratios based on given values.