Dr. Lal and Jain Solutions for Exercise 1: Exercise 12

If a train, running at $75 \mathrm{km}$ per hour, crosses a man walking in the opposite direction, at a speed of $10 \mathrm{km}/\mathrm{h}$ in $6 \mathrm{s}$, what will be the length of the train?

A passenger train running at the speed of $80 km/hr$ leaves the railway station $6$ hours after a goods train leaves and overtake it in $4$ hours. What is the speed of the goods train?

A railway train traveling at $72$ $km$ per hour crosses a signal in $9$ seconds. What is the length of the train in meters?

A $220$ meter long railway train crosses another $180$ meter long train running in the opposite direction in $8$ seconds. If the speed of this long train is $40$ meters/second, the speed of the other shorter train in meter/sec is :

A man covers a distance by a car driving at $70$$km/hr,$ and he returns to the starting point riding on a scooter at $55$$km/hr$. Find his average speed for the whole journey.

A man is walking at a speed of $12$$km/hr$. After every$km$, he takes rest for $12$ minutes. How much time will it take to cover a distance of $36$$km$?

A boy walking at a speed of $10$ $km/hr$ reaches his school $15$ minutes late. Next time he increases his speed $2$ $km/hr$, but still he is late by $5$ minutes. Find the distance of his school from his house.

A motor car does a trip to $10$$hrs$, the first half at $21$$km/hr$ and the second half at $24$$km/hr$. Find the distance.