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? please show work to

 15 seconds

It would have taken 20 seconds at 1/20 per second, but it is 3/4 of that. 3/4 of 20 is 15.

Step-by-step explanation: In case you need mathematical proof

Distance= speed times time

To find the speed, take the given distance divided by the given time:

  is the speed

The whole distance is 1. We need to solve for time.

D = s×t

1 = × t   Multiply both sides by 3/4  (cancels 3/4 on right side)

3/4 × 1 = 1/20 × t   Multiply both sides by 20 (cancels 1/20  on the right side)

20 × 3/4 = t    3*20/4 = 60/4 = 15

15 = t

both equations and proportions are better.