Direct Proportion

A loaded truck travels $14 \mathrm{km}$ in $25 \mathrm{minutes}.$ If the speed remains the same, it can travel $k \mathrm{km}$ in $5 \mathrm{hours}$, then find the value of $k.$

Razia has a road map with a scale of $1 \mathrm{c}\mathrm{m}$ representing $18 \mathrm{k}\mathrm{m}$. She drives on a road for $72 \mathrm{k}\mathrm{m}$. If the distance covered by her on the map is $k \mathrm{cm}$, then find the value of $k$.

Suppose $2 \mathrm{kg}$ of sugar contains $9\times {10}^6$ crystals. If there are $m\times {10}^6$ sugar crystals in $1.2 \mathrm{kg}$ of sugar, then find the value of $m$.

Suppose $2 \mathrm{kg}$ of sugar contains $9\times {10}^6$ crystals. If there are $m\times {10}^7$ sugar crystals in $5 \mathrm{kg}$ of sugar, then find the value of $m$.

In a model of a ship, the mast is $9 \mathrm{c}\mathrm{m}$ high, while the mast of the actual ship is $12 \mathrm{m}$ high. The length of the actual ship is $28 \mathrm{m}$ and that of the model ship is $k \mathrm{cm}$, then find the value of $k.$

A photograph of a bacteria enlarged $\mathrm{50,000}$ times attains a length of $5 \mathrm{c}\mathrm{m}$ as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged $\mathrm{20,000}$ times only, what would be its enlarged length?

A $5 \mathrm{m} 60 \mathrm{c}\mathrm{m}$ high vertical pole casts a shadow $3 \mathrm{m} 20 \mathrm{c}\mathrm{m}$ long. Find at the same time the height of a pole (in $\mathrm{m}$) that casts a shadow $5 \mathrm{m}$ long.

A $5 \mathrm{m} 60 \mathrm{c}\mathrm{m}$ high vertical pole casts a shadow $3 \mathrm{m} 20 \mathrm{c}\mathrm{m}$ long. If at the same time the length of the shadow cast by another pole $10 \mathrm{m} 50 \mathrm{c}\mathrm{m}$ high is $x \mathrm{m}$, then find the value of $x$.

A machine in a soft drink factory fills $840$ bottles in six hours. How many bottles will it fill in five hours$?$

A mixture of paint is prepared by mixing some parts of red pigments with some parts of base. If $1$ part of a red pigment requires $75 \mathrm{ml}$ of base, how much red pigment(in $\mathrm{ml}$) should we mix with $1800 \mathrm{ml}$ of base? 

A mixture of paint is prepared by mixing $1$ part of red pigments with $8$ parts of the base. In the following table, the parts of the base that need to be added is given. Find $a+b+c+d$.

Following are the car parking charges near a railway station up to

Check if the parking charges are in direct proportion to the parking time.