Arihant Expert Team Solutions for Exercise 1: Practice Questions

A car runs at the speed of $50\text{ km}/\text{h}$ when not serviced and runs at $60\text{ km}/\text{h}$ when serviced. After servicing, the car covers a certain distance in $6\text{ h}$. How much time will the car take to cover the same distance when not serviced?

An aeroplane flies along the four sides of a square at the speeds of $200\text{ km}/\text{h},400\text{ km}/\text{h},600\text{ km}/\text{h}$ and $800\text{ km}/\text{h}$. Find the average speed of the plane around the field.

A goods train leaves a station at a certain time and at a fixed speed. After $6\text{ h}$, an express train leaves the same station and moves in the same direction at a uniform speed of $90\text{ km}/\text{h}$. This train catches up the goods train in $4\text{ h}$. Find the speed of the goods train.

Keshav can row $60\text{ km}$ downstream and $36\text{ km}$ upstream, taking $10\text{ h}$ each time. What is the velocity of the current?

A train moving with uniform speed crosses a pole in $2\text{ s}$ and a $250\text{ m}$ long bridge in $7\text{ s}$. Find the length of the train.

A person riding a bike crosses a bridge with a speed of $54\text{ km}/\text{h}$. What is the length of the bridge, if he takes $4\text{ min}$ to cross the bridge?

A train travelling at a speed of $30\text{ m}/\text{s}$ crosses a $600\text{ m}$ long platform in $30\text{ s}$. Find the length of the train.

Ashutosh can cover a certain distance in $84$ min  by covering $\frac{2}{3}$rd of distance at $4 \mathrm{km}/\mathrm{h}$ and the rest at $5 \mathrm{km}/\mathrm{h}$. Find the total distance.