Question

A car runs $16$ km using $1$ litre of petrol . How much distance will it cover using $2\dfrac{3}{4}$ litres of petrol?

Answer 1

Hint: In this question it is given that the car runs $16$ km using $1$ litre of petrol hence for the $2\dfrac{3}{4}$ litres of petrol also will return as $\dfrac{{4 \times 2 + 3}}{4}$= $\dfrac{{11}}{4}$ litres is equal to $16$ $ \times $ amount of petrol is present.

Complete step-by-step answer:
It is given in the question that the car will travel $16$ km using $1$ litre of petrol .
So in the question it is asked how much time it should take to cover $2\dfrac{3}{4}$ litres of petrol .
or $2\dfrac{3}{4}$ litres of petrol also will return as $\dfrac{{4 \times 2 + 3}}{4}$= $\dfrac{{11}}{4}$ litres.
So for the $\dfrac{{11}}{4}$ litres of petrol it will travel is $16 \times \dfrac{{11}}{4}$
As in this numerator multiply by numerator and denominator by denominator.
$\dfrac{{16}}{1} \times \dfrac{{11}}{4}$
Hence it is equal to
= $\dfrac{{176}}{4}$ km
After dividing $176$ to $4$ we get,
= $44$ km
Hence the car $44$ km in the petrol $\dfrac{{11}}{4}$ litres

Note: As in between the question we multiple $16$ to $\dfrac{{11}}{4}$ for this the non fraction number is multiple by fraction number so for this let us consider denominator is equal to $1$ for $16$ then $\dfrac{{16}}{1} \times \dfrac{{11}}{4}$. Sometimes in the optional question the units will change as in spite of $2$ km $2000$ meter is written so always remember that in $1$km = $1000$ m or $1,00,000$ cm.