"Robert can swim the first 50 meters of a race in 1 minute. Then he slows down by 12 seconds for each of the next 50 meters of a race. How long will it take Robert to swim a 400-meter race?
To find out how long it will take Robert to swim a 400-meter race, we need to calculate the time for each segment of the race and then add them up.
1. For the first 50 meters, Robert swims in 1 minute.
2. After that, he slows down by 12 seconds for each of the next 50 meters. Since there are 400 meters in total and we have already accounted for the first 50 meters, there are (400 - 50) = 350 meters remaining.
3. We can divide the remaining 350 meters into segments of 50 meters each: 350 / 50 = 7 segments.
4. For each segment, Robert will slow down by 12 seconds. Therefore, the total time added for the remaining 350 meters is 7 * 12 = 84 seconds.
Now we can add up the times for each segment:
- First 50 meters: 1 minute = 60 seconds
- Remaining 350 meters: 84 seconds
Total time = 60 seconds + 84 seconds = 144 seconds
Therefore, it will take Robert 144 seconds to swim a 400-meter race.
To calculate the time it will take Robert to swim a 400-meter race, we need to find the total time for each segment of the race and then add them together.
First, let's calculate the time for the first 50 meters. We know that Robert can swim the first 50 meters in 1 minute.
Next, we need to calculate the time for the next 50 meters. Robert slows down by 12 seconds for each 50-meter segment. Since there are 8 segments of 50 meters in a 400-meter race, he will slow down for 8 segments. So, the total slowdown time is 8 multiplied by 12 seconds, which equals 96 seconds.
Now, let's calculate the time it takes for Robert to swim the first 100 meters. We add the time for the first 50 meters (1 minute) with the total slowdown time for the second 50 meters (96 seconds). This gives us a total time of 1 minute 96 seconds, which is equivalent to 2 minutes 36 seconds.
Since the slowdown pattern continues every 50 meters, the next 100 meters will have the same total slowdown time as the first 100 meters. Therefore, it will also take Robert 2 minutes 36 seconds to swim the second 100 meters.
Now, we have to calculate the time for the third 100 meters, which will also have the same total slowdown time. Again, it will take Robert 2 minutes 36 seconds to swim this segment.
Finally, we need to calculate the time for the last 100 meters. By the same logic, it will also take Robert 2 minutes 36 seconds to swim this segment.
To find the total time for the entire race, we add up the times for each segment. So, 2 minutes 36 seconds (first 100 meters) + 2 minutes 36 seconds (second 100 meters) + 2 minutes 36 seconds (third 100 meters) + 2 minutes 36 seconds (last 100 meters) = 10 minutes 24 seconds.
Therefore, it will take Robert 10 minutes 24 seconds to swim a 400-meter race.