Question

A two wheeler covers a distance of $ 55.3\,\,km $ in one litre of petrol. How much distance will it cover in $ 10\,litre $ of petrol?

Answer 1

Hint: In this type of problem we used a unitary method. In this we first find distance covered by two wheelers in one litre of petrol if not given then using this one litre of petrol we can find the total distance covered by two wheeler in $ 10\,litre $ of petrol and hence solution of required problem.

Complete step-by-step answer:
To find distance covered in $ 10\,litre $ of petrol by a two wheeler.
For this we used a unitary method.
In this method we first calculate distance covered by two wheelers in one litre of petrol and then using it we will find the total distance covered by two wheelers in $ 10\,litre $ of petrol.
Here, it is given that two wheelers cover a distance of $ 55.3\,\,km $ in one litre of petro.
Hence, we see that it is already given how much distance a two wheeler covered in one litre of petrol.
Therefore, we can use it to find the total distance covered by two wheelers in $ 10\,litre $ of petrol. Which is given as:
Distance covered by two wheeler in one litre of petrol = $ 55.3\,\,km $
Distance covered by two wheeler in $ 10\,litre $ of petrol = $ 55.3 \times 10 $
= $
\Rightarrow \dfrac{{553}}{{10}} \times 10 \\
   = 553 \;
  $
Hence, from above we see that two wheelers will cover a distance of $ 553\,km $ in $ 10\,litre $ of petrol.
So, the correct answer is “ $ 553\,km $ ”.

Note: We can also find the value of distance covered by using ratio method. In this we equate ratio number of litre of petrol to distance covered as taking distance covered in $ 10\,litre $ as ‘x’ and then on cross multiplying we get value of ‘x’ and hence required solution of the problem .