Question

A bus consumes 108 liters of fuel for travelling 594 km. How many liters of fuel is needed in travelling 1650 km?

Answer 1

Hint: In the above question, we will use the unitary method to find the fuel needed to travel 1km using the given condition in the question and then, we will multiply it with the given distance to find the fuel needed to travel that distance.

Complete step-by-step answer:
We have been given that a bus consumes 108 liters of fuel for travelling 594km and asked to find how many liters will be consumed to travel 1650km.
We will use the unitary method. So, first we will find the litres of fuel that will be consumed by the bus in unit quantity, i.e in 1 km. Then, once we have the unit quantity, then we can multiply the distance travelled with it and get the required answer.
So, we know that in 594 km the bus consumed = 108 liters of fuel
So, in 1 km the fuel consumption of the bus is
\[\Rightarrow \dfrac{108}{594}\text{ liters}\]
Now, we will find the fuel consumed by the bus in 1650 km as shown below,
\[\begin{align}
  & \Rightarrow \dfrac{108}{594}\times 1650 \\
 & \Rightarrow 300\text{ liters} \\
\end{align}\]
Therefore, we get that 300 liters of fuel is needed to travel 1650 km.

Note: Students must be very careful in applying the unitary method concept. Instead of dividing 108 by 594, some students might divide 594 by 108. This will give them the conclusion that 5.5 liters is consumed by the bus to travel 1 km. Then, multiplying this by 1650, we will end up with 9075 litres, which is definitely the wrong answer. So, take a note of this mistake.