Question

A motorbike covers 62.5 km in one litre of petrol. How much distance will it cover in 10 litres of petrol.

Answer 1

Hint: This question is based on unitary method. In this method, we are supposed to find the value of a single unit from the given multiple and then find the required solution by multiplying the unit value. In this particular question, unit value is already given as the distance covered by the bike in one litre of petrol. Now, we will multiply this distance with the available petrol to find the distance covered with the available petrol.

Complete step-by-step answer:
It is given in the question that the bike can cover 62.5 km in one litre of petrol.
This means if a person has one litre of petrol in his bike, he can travel 62.5 km.
Let x be the distance covered in 10 litres of petrol
So, if he has 10 litres of petrol in his bike, he can travel x = (10 × distance travelled in one litre)
Therefore, x = ($10 \times 62.5$) km
Thus, x = 625 km
Therefore, in 10 litres of petrol, the motorbike can cover 625 km.

Note: To understand the unitary method better, let us consider another example. Suppose, the cost of 4 pencils is Rs 40. Now to find the cost of 6 pencils, first we will find the cost of 1 pencil. This can be done by dividing the cost of 4 pencils by 4. Therefore, the cost of 1 pencil will be $\dfrac{40}{4}$ = 10. Thus, the cost of 1 pencil is Rs. 10. Now to find the cost of 6 pencils, we will multiply the cost of 1 pencil by 6. Therefore, the cost of 6 pencils is (Rs $10 \times 6$) = Rs. 60. There can be many more problems such as examples to understand unitary methods better.