Question

A car covers a distance of 36km with 3 litres of petrol 1)how much distance will it cover in 8 litres of petrol 2) how much petrol is required to cover a distance of 216 km​

Answer 1

3lit=36

1lit=12km

so

in 8 lit=8×12= 96 km

and

b) 216/3=72 lit petrol required

Answer 2

Answer :-

1) The distance travelled in 8 liters petrol is 96 km

2)18 liters petrol is required to cover 216 km

Explanation :-

Given :

Distance travelled in 3 liters petrol = 36 km

To find :

1) Distance will it cover in 8 liters of petrol.

2) Petrol required to cover a distance of 216 km

Solution :-

1)

By Proportion :-

Consider distance covered in 8 liters petrol as x

$\implies$ 36 : 3 : : x : 8

$\star$ As we know :-

$\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}$

Mean Terms = 3 and x

Extreme Terms = 36 and 8

$\sf{\implies}3 \times x = 36 \times 8$

$\sf{\implies}3x = 288$

$\sf{\implies}x =\dfrac{288}{3}$

$\sf{\implies}96$

$\therefore$ The distance travelled in 8 liters petrol is 96 km

2)

By Proportion :-

Consider the petrol Required to travel 216 km as x

$\implies$ 36 : 3 : : 216 : x

$\star$ As we know :-

$\boxed{\sf{Mean \times Mean\:Terms = Extreme \times Extreme \:Terms}}$

Mean Terms = 3 and 216

Extreme Terms = 36 and x

$\sf{\implies}3 \times 216 = 36 \times x$

$\sf{\implies}648 = 36x$

$\sf{\implies}x =\dfrac{648}{36}$

$\sf{\implies}x = 18$

$\therefore$ 18 liters petrol is required to cover 216 km