Question

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 seconds at that rate how many seconds does it take the object to travel the entire length of the path​

Answer 1

Answer:

15 sec.

Step-by-step explanation:

Given: Object travels 1/20 of the length of the path in 3/4 seconds.

Let the entire length of the path be "x".

Now, solving to find the total time taken to travel entire length.

First step, Object travel= $\frac{1}{20}\times x = \frac{x}{20}$

Next putting the value in the ratio of Length: time.

$\frac{\frac{x}{20} }{\frac{3}{4} }$

And another ratio of entire length and total time

$\frac{x}{Total\ time}$

Now, using scissor method fractioning to solve the ratio or fraction

⇒$\frac{\frac{x}{20} }{\frac{3}{4} }= \frac{x}{Total\ time}$

To divide fraction, take reciprocal of the divisor and multiply the dividend.

⇒ $\frac{x}{20} \times \frac{4}{3} = \frac{x}{Total\ time}$

⇒$\frac{4x}{20\times 3} = \frac{x}{Total\ time}$

Cross multiplying both side.

⇒ $Total\ time= \frac{20x\times 3}{4x}$

⇒ $Total\ time= \frac{20\times 3}{4}$

⇒$Total\ time= 5\times 3= 15\ sec$

∴ Total time taken by Object to travel entire length is 15 sec.