Karnataka Board Solutions for Chapter: Direct and Inverse Proportions, Exercise 1: TRY THESE

The cost of $5$ metres of a particular quality of cloth is $₹210$. Tabulate the cost of $2, 4, 10$ and $13 \mathrm{metres}$ of cloth of the same type.

An electric pole, $14$ metres high, casts a shadow of $10$ metres. Find the height of a tree that casts a shadow of $15$ metres under similar conditions.

If the weight of $12$ sheets of thick paper is $40$ grams, how many sheets of the same paper would weigh $2\frac{1}{2} \mathrm{kilograms}$?

A train is moving at a uniform speed of $75 \mathrm{km}/\mathrm{hour}$.

(i) How far will it travel in $20 \mathrm{minutes}$?

(ii) Find the time required to cover a distance of $250 \mathrm{km}$.

The scale of a map is given as $1:30000000$. Two cities are $4 \mathrm{cm}$ apart on the map. Find the actual distance between them.

$6$ pipes are required to fill a tank in $1 \mathrm{hour} 20 \mathrm{minutes}$. How long will it take if only $5$ pipes of the same type are used?

There are $100$ students in a hostel. Food provision for them is for $20$ days. How long will these provisions last, if $25$ more students join the group?

If $15$ workers can build a wall in $48 \mathrm{hours}$, how many workers will be required to do the same work in $30 \mathrm{hours}$?