In a race of 100 meters, A beats B by 10 meters and C by 20 meters. If A's speed is 10 m/s, what is B's speed? (2023)

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Q: In a race of 100 meters, A beats B by 10 meters and C by 20 meters. If A's speed is 10 m/s, what is B's speed? (2023)

Solution: If A runs 100 meters, B runs 90 meters. Time taken by A = 10 seconds. B's speed = Distance/Time = 90/10 = 9 m/s.

Steps: 7

Step 1: Understand the race distance. The race is 100 meters long.
Step 2: Know that A beats B by 10 meters. This means when A finishes 100 meters, B has only run 90 meters.
Step 3: A's speed is given as 10 meters per second (m/s).
Step 4: Calculate the time it takes for A to finish the race. Time = Distance / Speed. So, Time taken by A = 100 meters / 10 m/s = 10 seconds.
Step 5: Since A takes 10 seconds to finish, we know B runs for the same 10 seconds.
Step 6: B runs 90 meters in that time. Now, we need to find B's speed.
Step 7: Use the formula for speed: Speed = Distance / Time. B's speed = 90 meters / 10 seconds = 9 m/s.