
A scooter can run 225km with 5 litres of petrol. How many litres of petrol is needed to travel 135 km?
Answer
475.5k+ views
Hint: In this question, we have to find the amount of petrol needed for a specific distance on the basis of given data.
We can find this by unitary method first we need to find how many kilometres can the scooter move for one unit petrol then we can find it for the required specifications.
Complete step by step answer:
It is given that a scooter can run \[225\] km. with \[5\] litres of petrol.
We need to find out the amount of petrol is needed to travel \[135\] km.
We will solve this by the unitary method.
The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Thus first we need to find out how much petrol is needed for the scooter to cover a one km. distance. Then we can find it for \[135\] km.
Therefore, the scooter can run \[225\] km. with \[5\] litres of petrol.
The scooter can run \[1\] km. with \[\dfrac{5}{{225}}\] litres of petrol.
The scooter can run \[135\] km. with \[\dfrac{5}{{225}} \times 135 = 3\] litres of petrol.
Hence, the scooter can run \[135\]km. with \[3\] litres of petrol.
Note:
Here we use the unitary method to solve this problem. In the unitary method, we calculate the single unit value from the multiple unit value and then we find the required multiple unit value by using that single unit value. We must keep in mind that we should focus on those calculations. We make mistakenly in those calculations
We can find this by unitary method first we need to find how many kilometres can the scooter move for one unit petrol then we can find it for the required specifications.
Complete step by step answer:
It is given that a scooter can run \[225\] km. with \[5\] litres of petrol.
We need to find out the amount of petrol is needed to travel \[135\] km.
We will solve this by the unitary method.
The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Thus first we need to find out how much petrol is needed for the scooter to cover a one km. distance. Then we can find it for \[135\] km.
Therefore, the scooter can run \[225\] km. with \[5\] litres of petrol.
The scooter can run \[1\] km. with \[\dfrac{5}{{225}}\] litres of petrol.
The scooter can run \[135\] km. with \[\dfrac{5}{{225}} \times 135 = 3\] litres of petrol.
Hence, the scooter can run \[135\]km. with \[3\] litres of petrol.
Note:
Here we use the unitary method to solve this problem. In the unitary method, we calculate the single unit value from the multiple unit value and then we find the required multiple unit value by using that single unit value. We must keep in mind that we should focus on those calculations. We make mistakenly in those calculations
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