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An object travels along a horizontal straight path at a constant rate. The object travels 1/20 of the length of the path in 3/4 second. At the rate, how many seconds does it take the object to travel the entire length of the path?

(a) 15 seconds
(b) 18 seconds
(c) 20 seconds
(d) 25 seconds

1 Answer

3 votes

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.

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