Final answer:
To find out how far the train will travel in 3 seconds, we multiply the distance it travels in 1/4 of a second by 12, since 3 seconds is 12 times 1/4 of a second. The train will travel 180 feet in 3 seconds.
Step-by-step explanation:
To determine how far the train will travel in 3 seconds based on the given rate, we need to set up a proportion since the speed is constant. The train travels 15 feet in 1/4 second, so if we multiply both the distance and time by the same factor, we'll find out how far it travels in any other amount of time.
Since we need to find the distance for 3 seconds, we can think of 3 seconds as being 12 times 1/4 second (because 3 seconds divided by 1/4 second equals 12). Therefore, we can multiply the distance the train travels in 1/4 second by 12 to find the distance it travels in 3 seconds.
Calculation:
- Distance traveled in 1/4 second: 15 feet
- Distance traveled in 3 seconds: 15 feet × 12 = 180 feet
Therefore, at the same rate, the train will travel 180 feet in 3 seconds, which corresponds to option C).