# DELHI POLICE MATHS QUIZ

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## Question 1:

A man travelled four equal distances of $3 \mathrm{~km}$ at speeds of $10,20,30$ and $40 \mathrm{~km} / \mathrm{hr}$ respectively. What is his average speed (in $\mathrm{km} / \mathrm{hr}$ )?

## Question 2:

Train A running with the speed of $20 \mathrm{~m} / \mathrm{s}$ crosses a platform in 30 seconds. Another train B whose length is 150 metre more than length of train $\mathrm{A}$ is running with the speed of $10 \mathrm{~m} / \mathrm{s}$ crosses a pole in 40 seconds. Find the length of platform.

## Question 3:

A man travels from $\mathrm{A}$ to $\mathrm{B}$ at a speed of $20 \mathrm{~km} / \mathrm{h}$ and returns by increasing his speed by $50 \%$. What is his average speed for both the trips?

## Question 4:

The distance between two towns is covered in 8 h at a speed of 55 km/h. How much time (in hours and minutes) will be saved if the speed is increased by 25km/h ?

## Question 5:

Two cars are running towards each other at the speeds of 45 km/h and 70 km/h, respectively. What will be the distance between them 12 min before they meet ?

## Question 6:

Speed of an aircraft is 120 km/min. This speed in m/sec is:

## Question 7:

A car covers the first 41 km of its journey in 45 min and covers the remaining 23 km in 35 min. What is the average speed (in m/sec ) of the car ?

## Question 8:

Excluding stoppages, the speed of a bus is 60 km/h and including stoppages, it is 42 km/h. For how many minutes does the bus stop per hour?

## Question 9:

A person crosses a 1600 m long street in 4 min. What is his speed (in km/h )?

## Question 10:

The ratio of the speed of two trains is 3 : 8. If the first train travels 300 km in 5 hours, then what is the sum of the speeds (in km/h) of both the trains?