Question

A car covers 45km in 3L of petrol. How much distance will it cover in 7L of petrol?​

Answer 1

Given :-

• A car covers 45km in 3L of petrol

To Find :-

• How much distance will it cover in 7L of petrol ?

Solution :-

❏ In this question, it is given that a car covers 45km in 3L of petrol. So we will calculate the distance that it can cover in 1L of Petrol after that we will Multiple the distance by 7.

⟾ Distance in 3L petrol = 45km

⟾ Distance in 1L petrol = 45 ÷ 3

⟾ Distance in 1L petrol = 15km

Now,

➞ Distance in 1L petrol = 15km

➞ Distance in 7L petrol = 15 × 7

➞ Distance in 7L petrol = 105km

Thus the Car will cover 105km in 7L

________________

Answer 2

Given:

• A car covers 45km in 3L of petrol.

To Find:

• How much distance will it cover in 7L of petrol?

Understanding the question

Now we have said that a car covers 45 km with 3L of petrol and that we have tofind how much distance will be covered with 7L

Table:

$\begin{gathered} \: \: \: \: \: \: \: \begin{gathered} \footnotesize\boxed{\begin{array}{ c |c} \frak \red{ \pmb{distance}}& \frak \red{ \pmb{petrol}}\\ \dfrac{\qquad\qquad}{ \sf{45 \: km}}& \dfrac{\qquad\qquad}{ \sf{3L}}& \\ \dfrac{\qquad\qquad}{ \sf{ x\: km}}&\dfrac{\qquad\qquad}{ \sf{7L}}& \\ \end{array}}\end{gathered}\end{gathered}$

Which means,

• 45 : 3 : : x : 7

Hence, we can say that the quantities are in proportion

We know that when two quantities are in proportion their product of means = product of extremes So, now let's form an equation accordingly and find the distance covered with 7L of petrol

• ★ Means = 3 and x
• ★ Extremes = 45 and 7

$\longrightarrow \tt \: 45 \times 7 = 3 \times x \\ \\ \\ \longrightarrow \tt 315 = 3x \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt x = \cancel\frac{315}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt x = { \pink{ \boxed{ \tt{105km}}}} \: \: \: \: \: \: \:$

• Hence the distance travelled with 7L of petrol is 105km

Additional Info:

What is proportion?

A proportion is an equation that says that two or more ratios are equal.

Types of proportion:

• Direct  proportion

• Inverse proportion

Two variables are said to be in proportion if the change in one can be predicted from a change in the other quantity

Synonyms of proportion:

• comparison.

• share.

• distribution

• balance

hope this helped