# TIME SPEED AND DISTANCE SHORTCUTS PDF

## About time speed and distance shortcuts pdf

"Time speed and  distance shortcuts pdf" is the much needed stuff to the people who prepare for competitive exams. Because problems on time speed and distance play a major role quantitative aptitude test. There is no competitive exam without the questions from this topic. Even though students can get time speed and distance shortcuts online, we have given all the shortcuts in pdf which can be downloaded from the link given below.

## Time speed and distance shortcuts

Hint 1:

If the speed is given km per hour and we want to convert it in to meter per second, we have to multiply the given speed by 5/18.

Example:

90 km/hr = 90x(5/18) = 25 meter/sec

Hint 2:

If the speed is given meter per sec and we want to convert it in to km per hour, we have to multiply the given speed by 18/5.

Example:

25 meter/sec = 25x(18/5) = 90 km/hr

Hint 3:

If the ratio of speeds of two vehicles in the ratio a:b, then time taken ratio of the two vehicles would be b:a.

Example:

The ratio of speeds of two vehicles is 2:3. Then time taken ratio of the two vehicles to cover the same distance would be 3:2.

Hint 4:

If the ratio of speeds of two vehicles in the ratio a:b, then the distance covered ratio in the same amount of time  would also be a:b.

Example:

The ratio of speeds of two vehicles is 2:3. Each vehicle is given one hour time. Then, the distance covered by the two vehicles would be in the ratio 2:3.

Hint 5:

If A is twice as fast as B, then the distance covered ratio of A and B in the same amount of time would be 2:1.

Example:

A is twice as fast as B and each given 1 hour time.  If A covers 20 miles of distance in one hour, then B will cover 10 miles of distance in one hour.

Hint 6:

If one increase or  decreases the speed of the vehicle in the ratio a:b,

then the new speed  is = “b” of the original speed/a

More clearly, new speed  = (“b” X original speed) / a

Example:

David travels at a speed of  56 miles per hour. If he reduces his speed in the ratio 7:6, find his new speed.

New speed = (6 X 56) / 7 = 48 miles per hour

Hint 7:

If a person covers a particular distance at a speed “a” miles per hour and comes backs to his original position at a speed of “b” miles per hour.

Then the average speed for the total distance covered = 2ab / (a+b) miles hour

Important condition: The distance covered in “a” miles per hour and the distance covered in “b” miles per hour must be same.

Example:

John travels 300 miles at the speed 45 miles per hour and travels another 300 miles at the speed of 55 miles per hour. Find the average speed for the whole journey.

Average speed for the whole journey = 2x45x55/(45+55)

= 4950/90

= 55 miles per hour

To get more ideas on speed distance and time, we have given some more examples. Please have a look on them.

Question : 1

If a person drives his car in the speed 50 miles per hour, how far can he cover in 2.5 hours

Solution :

The speed is 50 miles per hour.

The distance covered in 1 hour = 50 miles

Then, the distance covered in 2.5 hours is

= 50x2.5 miles

= 125 miles

Question : 2

If a person travels at a speed of 40 miles per hour. At the same rate, how long will he take to cover 160 miles distance ?

Solution :

Speed = 40 miles per hour.

Distance to be covered = 160 miles

Time = ?

Time = Distance / Speed

Time = 160 / 40

Time = 4 hours

Question : 3

A person travels at a speed of 60 miles per hour. How far will he travel in 4.5 hours?

Solution :

The speed is 60 miles per hour.

The distance covered in 1 hour = 60 miles

Then, the distance covered in 4.5 hours is

= 60x4.5 miles

= 270 miles

Question : 4

A person travels at a speed of 60 kms per hour. Then how many meters can he travel in 5 minutes?

Solution :

The speed is 60 kms per hour.

The distance covered in 1 hour = 60 kms or 60000 meters

That is, the distance covered in 60 min = 60000/60 = 1000 m

Then, the distance covered in 5 minutes is

= 1000x5

= 5000 meters

Question : 5

A person covers 108 kms in 3 hours. What is his speed in meter per second?

Solution :

108 kms = 108x1000 = 108000 meters

3 hours = 3x60x60 = 10800 seconds

Speed = Distance / Time

Speed = 108000 / 10800

Speed = 10 meter per second

Question : 6

A person covers 90 kms in 2 hours 30 minutes. Find the speed in meter per second.

Solution :

90 kms = 90x1000 = 90000 meters

2 hours 30 minutes = 150 min  = 150x60 = 9000 seconds

Speed = Distance / Time

Speed = 90000 / 9000

Speed = 10 meter per second

Question : 7

A person travels at the rate of 60 miles per hour and covers 300 miles in 5 hours. If he reduces his speed by 10 miles per hour, how long will he take to cover the same distance ?

Solution :

Original speed = 60 miles per hour.

If the speed is reduced by 10 miles per hour,

then the new speed = 50 miles per hour

Distance to be covered = 300 miles

Time = Distance / Speed

Time = 300 / 50

Time = 6 hours

Question : 8

A person travels 50 kms per hour. If he increased his speed by 10 kms per hour, how many minutes will he take to cover 7500 meters?

Solution :

Speed = 50 kms per hour

If the speed is increased by 10 kms per hour,

then the new speed = 60 kms per hour

So, distance covered in 1 hour = 60 kms

Then, distance covered in 60 minutes = 60000 meters

Distance covered in 1 minute = 1000 meters

Then new speed = 1000 meter per minute

Distance to be covered = 7500 meters

Time = Distance / Speed = 7500 / 1000

Time = 7.5 minutes or 7 minutes 30 seconds

Question : 9

A person can travel at the speed of 40 miles per hour. If he increases his speed by 50%, how long will he take to cover 330 miles?

Solution :

Original speed = 40 miles per hour

If the speed is increased by 50%,

then the new speed = 150 % of 40 = 60 miles per hour

Distance to be covered = 330 miles

Time = Distance / Speed

Time = 330 / 60

Time = 5.5 hours or 5 hours 30 minutes

Question : 10

A person speed at a rate of 40 kms per hour. If he increases his speed by 20%, what is his new speed in meter per minute?

Solution :

Original speed = 40 kms per hour

If the speed is increased by 20%,

then the new speed = 120 % of 40 = 48 kms per hour

That is, distance covered in 1 hour = 48 kms

(or) Distance covered in 60 minutes = 48000 meters

(or) Distance covered in 1 minute = 800 meters

Hence, the speed = 800 meters per minute

And for your convenience, we have given all the above stuff as pdf document named "Time speed and distance shortcuts pdf".

## How would time speed and distance shortcuts pdf be helpful to the students?

Students who are preparing to improve their aptitude skills and those who are preparing for the competitive exams like ACT, SAT  must need time speed and distance shortcuts pdf  in order to have better score.Because, today there is no competitive exam without questions from the topic time speed and distance. Whether a person is going to write placement exam to get placed or a students is going to write a competitive exam in order to get admission in university, they are in need of this time speed and distance shortcuts pdf.

## Benefits of time speed and distance shortcuts pdf

As we mentioned in the above paragraph, a person who wants to get placed in a company and a students who wants to get admission in university for higher studies must write competitive exams like placement test and entrance exam. To meet the above requirement, it is very important to score more marks in the above mentioned competitive exams. To score more marks, they have to prepare this topic. Particularly, they have to know the stuff available in time speed and distance shortcuts pdf. Preparing this topic would definitely improve their marks in the above exams. Preparing this topic is not difficult task. We are just going to remember the stuff that we have already learned in our lower classes.

## How can students do the problems using time speed and distance shortcuts pdf ?

Students have to learn few basic operations in this topic time speed and distance. Already we are much clear with the four basic operations which we often use in math. They are addition, subtraction, multiplication and division. Even though we are much clear with these four basic operations, we have to be knowing some more stuff to do the problems which are being asked from this topic in competitive exams. This time speed and distance shortcuts pdf is the one much needed to solve the problems in a very short time.