Final answer:
The object takes 1/15 second to travel the entire length of the path, which is equivalent to 15 seconds.
Step-by-step explanation:
To find the number of seconds it takes for the object to travel the entire length of the path, we can use the information given. The object travels 1/20 of the length of the path in 3/4 second. This means it takes the object 3/4 second to travel 1/20 of the total distance.
Let's set up a proportion to solve for the total time. If x represents the total time, we have:
3/4 seconds = 1/20 of the distance/x seconds
Cross multiplying, we get:
3x = 4 * 1/20
3x = 1/5
x = (1/5) / 3
x = 1/15
Therefore, it takes the object 1/15 second to travel the entire length of the path, which is equivalent to 15 seconds.
So the correct answer is (a) 15 seconds.