Measuring the Rate of Motion

If a man walks $20 \mathrm{km}$ at $5 \mathrm{km}/\mathrm{hr}$, he will be late by $40 \mathrm{minutes}$. If he walks at $8 \mathrm{km}/\mathrm{hr}$, how early from the fixed time will he reach?

If distance is $500 \mathrm{m}$ and the time is $2 \min 5 \mathrm{s}$, find the speed.

A train travels a distance of $1000 \mathrm{km} 400 \mathrm{m}$ in $15\frac{1}{2} \mathrm{hours} 30 \mathrm{minutes}$. What is the average speed of the train?

The speed of a bus is $40\frac{1}{4} \mathrm{km}/\mathrm{h}$. The time (in minutes) to travel $\frac{1000}{3} \mathrm{km}$ by the bus is

A car moves with a speed of $40 \mathrm{km}/\mathrm{h}$ for $15$ minutes, then with a speed of $60 \mathrm{km}/\mathrm{h}$ for $15$ minutes, then with a speed of $48 \mathrm{km}/\mathrm{h}$ for $10$minutes, then with the speed of $30 \mathrm{km}/\mathrm{h}$ for $20$minutes. Find the average speed of the car.

For a man who walks $720 \mathrm{m}$ at a uniform speed of $2 \mathrm{m}/\mathrm{s}$, then runs at a uniform speed of $4 \mathrm{m}/\mathrm{s}$ for $5 \mathrm{minute}$ and then again walks at a speed of $1 \mathrm{m}/\mathrm{s}$ for $3 \mathrm{minutes}$. His average speed is

A man walks with constant speed to market from home and returns back immediately to home in $2 \mathrm{h}$. He saves $30$ minutes when he rides a bicycle both ways at a constant speed. If the distance between the market and the home is $6 \mathrm{km}$, then calculate the average speed of the man when he goes by riding the bicycle and comes back by walking.

A car covers a distance of $33 \mathrm{km}$ in $72 \mathrm{minutes}$. Find the speed during the last $18 \mathrm{km}$ if the first $15 \mathrm{km}$ are covered at $25 \mathrm{km}/\mathrm{h}$.

A car covers a certain distance in 50 minutes if it runs at 45 km per hour. How much time will it take to cover the same distance at a speed of 30 km per hour?

A man moves from station A to B with the speed $5 \mathrm{km}/\mathrm{h}$ for half time and with speed $15 \mathrm{km}/\mathrm{h}$ for remaining half time. The average speed of the man over the entire journery is 

The distance between the house to the school of a boy is $3.6 \mathrm{km}$. If he takes $6 \mathrm{minutes}$ to reach his school by car. Calculate his speed in $\mathrm{m}/\mathrm{s}, \mathrm{cm}/\mathrm{s} \mathrm{and} \mathrm{km}/\mathrm{h}.$

Two planes start from a city and fly in opposite directions, one averaging a speed of$40 \mathrm{km}/\mathrm{hr}$ greater than the others. If they are$3400 \mathrm{km}$. apart after$5 \mathrm{hours}$, the average speeds respectively are: 

Joseph Jogs from one end A to the other end B of a straight $300 \mathrm{m}$ road in$2 \min 30 \mathrm{s}$ and then turns around and jogs $100 \mathrm{m}$ back to point C in another $1 \min$. What are Joseph's average speeds and velocities in jogging (a) from A to B and (b) from A to C?

A physical quantity is measured as $10 \mathrm{m} {\mathrm{s}}^{-1}$. Is it speed or velocity?

A body travels along a circular path of radius $70 \mathrm{cm}$. After travelling half a revolution in $20 \mathrm{s}$, find the average velocity and average speed.

It was a rainy day in Bangalore. Rohit was sitting beside the window when he saw lightning. He started his stopwatch. He found that after $22 \mathrm{seconds}$ of lightning its roaring was heard. Calculate the height of the clouds which caused this lightning. Given, speed of light $=3\times {10}^8 {\mathrm{ms}}^{-1}$ and speed of sound $=340 {\mathrm{ms}}^{-1}$.

A car travels half distance with speed $20 \mathrm{m} {\mathrm{s}}^{-1}$ and next half distance travel with $30 \mathrm{m} {\mathrm{s}}^{-1}$ the average speed of the car is

A boy covers a distance of $260 \mathrm{m}$ in $20 \mathrm{s}$ and another distance of $300 \mathrm{m}$ in $20 \mathrm{s}$. The average speed of the boy is :

A car travels at $54 \mathrm{km}/\mathrm{h}$for first $20 \mathrm{s}$, $36 \mathrm{km}/\mathrm{h}$ for next $30 \mathrm{s}$ and finally$18 \mathrm{km}/\mathrm{h}$ for next $10 \mathrm{s}$. Find its average speed.

A school's ADCL IIT Foundation conference theatre is $15 \mathrm{m}$ wide and has a door on the side. A teacher enters the classroom through the entrance at $8:00 \mathrm{am}$, performs $10$ rounds along the$15 \mathrm{m}$ wall during the period, and then exits through the same door at $9.30 \mathrm{am}$. Calculate his average velocity and speed.