Question

One sixth of a distance travelled by Piyus is $ 20\;Km $ . What is the total distance travelled by Piyus?

Answer 1

Hint: In order to find the total distance travelled, let its value be $ x $ . Now form a relation or an equation between this total distance $ x $ and $ 20\;Km $ from the given information. By solving this equation, the total distance travelled can be found.

Complete step-by-step answer:
Given to us that Piyus has travelled a certain amount of distance and that one sixth of that distance is twenty Kilometers.
Let us assume that the total distance travelled by Piyus is $ x $ Kilometers.
One sixth of the total distance will now be $ x \times \dfrac{1}{6} $ . We can also write this as $ \dfrac{x}{6} $
It is given that this expression is equal to twenty Kilometers. By equating these two values, we get
$ \dfrac{x}{6} = 20\;Km $
We can solve this by multiplying both sides by six. This can be written as
$ \dfrac{x}{6} \times 6 = 20 \times 6 $
By solving this, we get $ x = 120 $
We have assumed that the total distance travelled by Piyus to be $ x $ Kilometers.
So now by solving the above equation we got the value of $ x $ to be $ 120 $
Therefore, the total distance travelled by Piyus is $ 120 $ Kilometers.
So, the correct answer is “120 Km.”.

Note: Commonly, one might forget to mention the units of distance measured so it is to be noted that the units of the distance should always be mentioned at the end of the answer. In order to find the distance calculated, one must assume its value to be some variable such that a linear equation can be formed from it.