Final answer:
Carl swam 17/20 of the distance Tom swam, which is 850 meters in 1 hour. Calculating the distance for 1/3 hour at Carl's speed, he swam approximately 283.33 meters, which is closest to 300 meters, option c).
Step-by-step explanation:
To calculate the distance Carl swam in 1/3 hour, we need to determine his swimming speed and then use it to find the distance swam in the given time interval. Tom swam 1000 meters in 1 hour, making his speed 1000 meters per hour. Carl swam 17/20 of Tom's distance, so Carl’s distance for 1 hour is:
- (17/20) × 1000 meters = 850 meters.
Carl's speed is therefore 850 meters per hour. To find the distance Carl swims in 1/3 hour, we calculate:
- (1/3 hour) × 850 meters/hour = 850/3 meters ≈ 283.33 meters.
Looking at the options provided, the closest value to 283.33 meters is 300 meters, which is option c).
Thus, Carl swam approximately 300 meters in 1/3 hour.