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= [tex]\frac{1}{20}\times x = \frac{x}{20}[/tex]
Next putting the value in the ratio of Length: time.
[tex]\frac{\frac{x}{20} }{\frac{3}{4} }[/tex]
And another ratio of entire length and total time
[tex]\frac{x}{Total\ time}[/tex]
Now, using scissor method fractioning to solve the ratio or fraction
⇒[tex]\frac{\frac{x}{20} }{\frac{3}{4} }= \frac{x}{Total\ time}[/tex]
To divide fraction, take reciprocal of the divisor and multiply the dividend.
⇒ [tex]\frac{x}{20} \times \frac{4}{3} = \frac{x}{Total\ time}[/tex]
⇒[tex]\frac{4x}{20\times 3} = \frac{x}{Total\ time}[/tex]
Cross multiplying both side.
⇒ [tex]Total\ time= \frac{20x\times 3}{4x}[/tex]
⇒ [tex]Total\ time= \frac{20\times 3}{4}[/tex]
⇒[tex]Total\ time= 5\times 3= 15\ sec[/tex]
∴ Total time taken by Object to travel entire length is 15 sec.
