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

15 sec.

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=
`(1)/(20)* x = (x)/(20)`

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

`((x)/(20) )/((3)/(4) )`

And another ratio of entire length and total time

`(x)/(Total\ time)`

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

⇒
`((x)/(20) )/((3)/(4) )= (x)/(Total\ time)`

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

⇒
`(x)/(20) * (4)/(3) = (x)/(Total\ time)`

⇒
`(4x)/(20* 3) = (x)/(Total\ time)`

Cross multiplying both side.

⇒
`Total\ time= (20x* 3)/(4x)`

⇒
`Total\ time= (20* 3)/(4)`

⇒
`Total\ time= 5* 3= 15\ sec`

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