Arihant Expert Team Solutions for Exercise 1: Practice Questions

The speed of a motor boat and the speed of the current of water are in the ratio $36 : 5$. The boat goes along with the current in $5 \mathrm{h} 10 \min$. It will come back in _____.

A student starting from his house walks at a speed of $2\frac{1}{2} \mathrm{km}/\mathrm{h}$ and reaches his school $6$ minutes late. Next day starting at the same time he increases his speed by $1 \mathrm{km}/\mathrm{h}$ and reaches $6$ minutes  early. The distance between the school and his house is_____.

A plane can cover $6000 \mathrm{km}$ in $8$ hours. If the speed is increased by $250 \mathrm{km}/\mathrm{h}$, then the time taken by the plane to cover $9000 \mathrm{km}$ is _____.

A train $100 \mathrm{m}$ long, running at $36 \mathrm{km}/\mathrm{h}$ takes $25 \mathrm{s}$ to pass a bridge. The length of the bridge is_____.

The speed of a boat along the stream is $12 \mathrm{km}/\mathrm{h}$ and against the stream is $8 \mathrm{km}/\mathrm{h}$. The time taken by the boat to sail $24 \mathrm{km}$ in still water is _____.

In covering a distance of $30 \mathrm{km}$, Abhay takes $2 \mathrm{h}$ more than Sameer. If Abhay doubles his speed, then he would take $1 \mathrm{h}$ less than Sameer. Abhay’s speed (in $\mathrm{km}/\mathrm{h}$) is_____.

A train of length $500 \mathrm{ft}$ crosses a platform of length $700 \mathrm{ft}$ in $10 \mathrm{s}$. The speed of the train is _____.

The speeds of two cars are in the ratio $5 : 4$. The ratio between the times taken by them to travel the same distance is _____.