Subject Experts Solutions for Chapter: Direct and Inverse Variation, Exercise 1: TEST YOUR SKILLS

The scale of a map is given as $1:30000000$. Two cities are $4 \mathrm{cm}$ apart on the map. If the actual distance is $y \mathrm{km}$, find the value of $y$.

Rashmi has a road map with a scale of $1 \mathrm{cm}$ representing $18 \mathrm{km}$. She drives on a road for $72 \mathrm{km}$. What should be her distance covered in map in $\mathrm{cm}$?

A machine in a soft drink factory fills $840$ bottles in six hours. If it fills $k$ bottles in $5$ hours, then find the value of $k$.

If $15$ workers can build a wall in $48$ hours. If $k$ workers will be required to do the same work in $30$ hours, then find the value of $k$.

A man deposited $₹5000$ in a bank and earned an interest of $₹600$ in $2$ years. How much interest (in $₹$) would a deposit of $₹8000$ earn in the same period? (Rate of interest being same).

Rohit starts his journey by car to a certain place at $9 \mathrm{a}.\mathrm{m}.$ and reaches the place at $1 \mathrm{p}.\mathrm{m}.$, if he drives his car at a speed of $30 \mathrm{km}/\mathrm{hr}$. By how much $\mathrm{km}/\mathrm{hr}$ should he increase the speed so that he can reach the place by $12 \mathrm{p}.\mathrm{m}.$?

A train $360 \mathrm{m}$ long is running at a speed of $45 \mathrm{km}/\mathrm{hr}$. What time (in $\sec$) will it take to cross a $140 \mathrm{m}$ long bridge?

Oranges cost $₹60$ for $4$ dozens in the supermarket. What is the cost of $12$ oranges?