Anne & Tom competed in the 200m long distance swimming race. After the first 50 meters, Anne had gained 2 seconds against Tom's time. Over the next three laps, Tom gained 1.5 seconds, then lost 2.1 seconds and then gained 1.7 seconds. Who is the winner and by how much?
To determine the winner and the time difference, we need to calculate the total time taken by both Anne and Tom in the race.
Let's break down the information given:
1. After the first 50 meters, Anne had gained 2 seconds against Tom's time.
This means that Anne finished the first 50 meters in 2 seconds less than Tom.
2. Over the next three laps, Tom gained 1.5 seconds, then lost 2.1 seconds, and then gained 1.7 seconds.
This indicates that Tom's time fluctuated during these laps.
Now, let's calculate the total time taken by Anne and Tom.
Anne's time after the first 50 meters: 0 seconds (Anne was ahead of Tom by 2 seconds, so her time starts at 0)
Tom's time after the first 50 meters: 2 seconds
For the next three laps, let's assign each lap a number:
- Lap 1: Tom gained 1.5 seconds.
Anne's time: 0 seconds
Tom's time: 2 seconds + 1.5 seconds = 3.5 seconds
- Lap 2: Tom lost 2.1 seconds.
Anne's time: 0 seconds
Tom's time: 3.5 seconds - 2.1 seconds = 1.4 seconds
- Lap 3: Tom gained 1.7 seconds.
Anne's time: 0 seconds
Tom's time: 1.4 seconds + 1.7 seconds = 3.1 seconds
Now, adding the time for the first 50 meters:
Anne's total time: 0 seconds + 50 meters
Tom's total time: 3.1 seconds + 50 meters
Since we know that the race is 200 meters long, we can calculate how many seconds each meter takes:
Anne's time per meter: Anne's total time / 200 meters
Tom's time per meter: Tom's total time / 200 meters
Using this information, we can calculate each swimmer's time to cover the 200-meter race:
Anne's total time for the 200 meters: Anne's time per meter * 200 meters
Tom's total time for the 200 meters: Tom's time per meter * 200 meters
Finally, we can compare the total times of Anne and Tom to determine the winner and the time difference.
If you provide me with the specific values for Anne and Tom's times, I can calculate the winner and the time difference for you.