Answer:
![y = (100-10x)\%](https://tex.z-dn.net/?f=y%20%3D%20%28100-10x%29%5C%25)
It takes <em>10 minutes</em> to the park.
Step-by-step explanation:
Given that:
Time taken = 6 minutes
Distance left to be traveled = 40%
To find:
The equation to represent the distance
, that still needs to be traveled after
minutes.
Solution:
As per given statement, distance traveled in 6 minutes = 60%
We can say that:
Distance traveled each minute =
= 10%
After 1 minute, distance traveled = 10%
Distance left = 100 - 10 = 90%
After 2 minutes, distance traveled = 20%
Distance left = 100 - 20 = 80%
After
minutes, distance traveled = 10
%
Distance left,
= (100 - 10
)%
Therefore, the equation is:
![y = (100-10x)\%](https://tex.z-dn.net/?f=y%20%3D%20%28100-10x%29%5C%25)
Time taken by the bike to reach to the park can be found by putting
= 0 (i.e. distance left to be traveled = 0)
![0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}](https://tex.z-dn.net/?f=0%20%3D%20100%20-10x%5C%5C%5CRightarrow%2010x%20%3D%20100%5C%5C%5CRightarrow%20x%20%3D%20%5Cbold%7B10%5C%20minutes%7D)