Time, Distance and Speed – Basic Concepts

In this post, we will discuss very basic concepts for time, distance and speed. I will also give you tips about related questions which are asked in government exams, competitive exams, and even the private recruitment process.

If you are here to ask any question, head straight to the comments section on this post.

Let’s go-to the type of questions, with examples and also the strategies to solve these questions.

Main formula to ace such questions

Formula to calculate Speed

Most questions in this category, you’ll need to use this formula.

In basic questions, you’ll be given values of any 2 among 3 of them. Here are some samples in this category.

Ques. Raghav walks 2km in 20 minutes. What is his speed in km/hr?

A. 3km/hr
B. 4km/hr
C. 6km/hr
D. 10km/hr

Solution

This is a very simple question. We need to calculate speed. We will just apply the above formula. Please note that the answer is needed in km/hr, distance is 2km and time is in minutes (not hours).

Units conversion for Time, speed and distance

We already know that,

1 km = 1000 m

1 hour = 60 minutes = 3600 seconds

Similarly, speed has units, km/hr (kilometer per hour) or m/sec (meter per second)

Now if you need to convert km/ hour to m/s, then use the following formula.

Ques. The train is going at 90 km/hr. What is the speed of the train in m/s?

A. 25 m/s
B. 20 m/s
C. 324 m/s
D. 15 m/s

This is a really simple question, but it will teach you the concept. Have a look at its solution below.

The speed of calculation is the key, in such questions.

Average Speed

Sometimes there will be questions to find out average speed.

Average speed is applied when speed or time or distance in 1 part of the journey is different, then the other part of the journey. Let’s jump straight to example.

Ques. A bus goes from New Delhi to Ludhiana with an average speed of 60 km/hr. The journey takes 5 hours. It returns from Ludhiana to New Delhi on the same route with an average speed of 50 km/hr. What was the average speed of the bus for the whole trip?

A) 50 km/hr              B) 54.5 km/hr            C) 48 km/hr              D) 52 km/hr

Solution

The thing we need to focus on is, that what is the total distance covered? and what is the total time taken? Then we will have an average speed.

Step 1

Step 2

Step 3

So the correct answer is 54.5 km/hr.

The proportion of time and speed with the same distance

This is common-sense that if you are moving with more speed, then it will take lesser time to cover the same distance. If you are moving at a lesser speed, then it will take more time to cover the same distance.

So the conclusion is, that time taken to cover a given distance is inversely proportional to speed.

Here we go to another example.

Ques. Prashant and Amirul are driving from New Delhi to Agra in different cars. The speed of cars has a ratio of 2:3. Suppose, Prashant’s car reaches Agra in 2 hours, how much time will Amirul need to travel from New Delhi to Agra?
A. 1 hour
B. 2 hours 20 minutes
C. 40 minutes
D. 1 hour 20 minutes

The solution is simple, we will take the concepts of proportions and speed to calculate the answer quickly.

Check this solution.

Step 1

Step 2

The solution might seem long, but this is what you have to do in your head.

Relative Speed Questions

These are very important questions, these are a little tougher than earlier ones.

Relative speed comes in question when there are 2 objects moving at different speeds.

If 2 objects are moving in the same direction with different speeds, suppose S1 and S2, the relative speed is the difference between the speeds of 2 objects, i.e. S1-S2

You can best understand it with an example.

Question: Two trains have an average speed of 100 km/hr and 110 km/hr. Assuming that they start at the same station at the same time. What is the distance between the 2 trains after 30 minutes?

A. 5 km
B. 2 km
C. 3 km
D. 500 m

We need to calculate the distance. For the distance, we need speed and time. Time is 20 minutes and we need to calculate relative speed. Check the solution below.

Conclusion

We covered most basic tips, question types, and formulas for Speed, Distance, and Time. If you think we have missed any type of question, please leave a comment.

If you have any doubt, please email us at indiapadhoonline@gmail.com

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