Question

A scooter consumers \[28\,litres\] of petrol in covering \[2100\,km\] . How much petrol will be needed to cover a distance of \[3600\,km\]?

Answer 1

Hint: Here, in this question, it is given that the scooter consumes \[28\,litres\] petrol to travel a distance of 2100 km, and if the scooter traveled \[3600\,km\], then how to calculate the petrol consumption. Let’s assume that the consumption of petrol is directly proportional to the distance traveled. Here, we will use the concept of the unitary method, i.e., first determining the quantity of petrol required to travel a distance of 1 km and then, for the 3600 km.


Complete step by step solution:
A scooter consumes \[28\,litres\] petrol to travel \[2100\,km\].
So, the quantity of petrol required to travel a distance of 1 km is given as:
$p = \dfrac{{28}}{{2100}} - - - - (i)$
Now, according to the question, we have to determine the quantity of petrol required to travel 3600 km, which can be found by using the unitary method as:
$
  P = \dfrac{{28}}{{2100}} \times 3600 \\
   = \dfrac{{28 \times 36}}{{21}} \\
   = 48{\text{ liters}} \\
 $
Hence the petrol required to cover the distance \[3600\,km\] is 48 liters.


Note: Proportionality is a very important concept in Mathematics. The student might get confused while using the distance-time formula and linear proportionality. As time is not mentioned in the question, so there is no point of using the distance-time formula.