Question

if a car can travel 9 km using 3/4 litres of petrol. how much distance it can travel using 4/3 litres of petrol​

Answer 1

Answer:

• A car can travel 16 km using 4/3 litres of petrol.

Step-by-step explanation:

Given that:

• A car can travel 9 km using 3/4 litres of petrol.

To Find:

• How much distance it can travel using 4/3 litres of petrol?

Let us assume:

• It can travel x km using 4/3 litres of petrol.

Finding the distance travelled:

According to the question.

⟶ 9 : 3/4 = x : 4/3

⟶ 9/(3/4) = x/(4/3)

Cross multiplication.

⟶ (9 × 4)/3 = (x × 3)/4

⟶ 36/3 = 3x/4

⟶ 12 = 3x/4

⟶ 3x = 12 × 4

⟶ 3x = 48

⟶ x = 48/3

⟶ x = 16

Hence,

• It can travel 16 km using 4/3 litres of petrol.

Answer 2

Answer:

Given :-

• A car travels 9 km by using 3/4 litres of petrol.

To Find :-

• How much distance it can travel using 4/3 litres of petrol.

Solution :-

Let,

$\mapsto$ The distance it can travel using 4/3 litres of petrol be x.

According to the question,

$\implies \sf 9 : \dfrac{3}{4} =\: x : \dfrac{4}{3}$

$\implies\sf \dfrac{9}{\dfrac{3}{4}} =\: \dfrac{x}{\dfrac{4}{3}}$

$\implies \sf \dfrac{9}{1} \times \dfrac{4}{3} =\: \dfrac{x}{1} \times\dfrac{3}{4}$

$\implies \sf \dfrac{\cancel{36}}{\cancel{3}} =\: \dfrac{3x}{4}$

$\implies \sf \dfrac{12}{1} =\: \dfrac{3x}{4}$

By doing cross multiplication we get,

$\implies \sf 3x =\: 4(12)$

$\implies \sf 3x =\: 4 \times 12$

$\implies \sf 3x =\: 48$

$\implies \sf x =\: \dfrac{\cancel{48}}{\cancel{3}}$

$\implies \sf\bold{\red{x =\: 16\: km}}$

$\therefore$ The distance it can travel using 4/3 litres of petrol is 16 km .