Telangana Board Solutions for Chapter: Direct and Inverse Proportions, Exercise 1: Exercise 1

In a ship of length $28 \mathrm{m}$, height of its mast is $12 \mathrm{m}$. If the height of the mast in its model is $9 \mathrm{cm}$ what is the length of the model ship?

A vertical pole of $5.6 \mathrm{m}$ height casts a shadow $3.2 \mathrm{m}$ long. At the same time if the length of the shadow cast by another pole $10.5 \mathrm{m}$ high is $k \mathrm{m}$, then find the value of $k$.

A vertical pole of $5.6 \mathrm{m}$ height casts a shadow $3.2 \mathrm{m}$ long. At the same time if the height of a pole which casts a shadow $5 \mathrm{m}$ long is $k \mathrm{m}$, then find the value of $k$.

A loaded truck travels $14 \mathrm{km}$ in $25$ minutes. If the speed remains the same, how far can it travel in $5$ hours?

If the weight of $12$ sheets of thick paper is $40$ grams, how many sheets of the same paper would weigh $16\frac{2}{3}$ kilograms?

A train moves at a constant speed of $75 \mathrm{km}/\mathrm{hr}$. The time taken by the same train with same speed to cover a distance of $250 \mathrm{km}$ is $k$ hrs. Find $k$ in mixed fraction. 

The design of a microchip has the scale $40:1$. The length of the design is $18 \mathrm{cm}$, find the actual length of the microchip?

The average age of consisting doctors and lawyers is $40$. If the doctors average age is $35$ and the lawyers average age is $50$, find the ratio of the number of doctors to the number of lawyers.