# Speed, Time and Distance: Questions and Formulas

Hello, Friends! Welcome to our blog. Today, we will discuss Speed, Time, and Distance Important Questions and Formulas. When you attempt an Aptitude test or Written test based on MCQs, you will always find that there are speed, time, and distance questions in mathematical section. You will need much time to solve them if you have not practiced them. We have collected the important formulas and questions of speed, time distance that will help you to clear the test.

## Scope of Speed Distance and Time, Formulas and Questions

Speed Time & Distance is one of the most common quantitative aptitude topics asked in the Government exams. This is one of those topics which candidates are familiar with even before they start their competitive exam preparation.

The concept of Speed, Time, Distance remains the same, however, the type of questions asked in the examinations may have a different variety.

Mostly, 1-2 word problems asked are based on Speed, Time, and Distance but candidates must also keep themselves ready to have questions on data sufficiency and data interpretation based on TDS (Time, Distance, and Speed) topic.

### Definition:

#### Speed, Time & Distance – Introduction & Concept

Speed Distance Time is one of the most popular and important topics in the Mathematics or Quants section of any competitive exam. The concept of Speed, Time and Distance is used extensively for questions relating to different topics such as motion in a straight line, circular motion, boats and streams, races, clocks, etc. Aspirants should try to understand the inter-relationship between the factors speed, distance and time.

### Formulas:

#### Relationship Between Speed, Time & Distance

1. Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.
2. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence, the following relationship exists.
3. Distance = Speed X Time, and
4. Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.

#### km/hr to m/sec or m/sec to km/h conversions

• x km/h = ( x * 5/18) m/sec.
• x m/sec = ( x * 18/5) km/h.

• If the ratio of the speeds of A and B is a : b, then the ratio of the times taken by them to cover the same distance is

1/a : 1/b or b : a

• Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is

2xy / (x+y) km/hr

### Important Math Questions

• A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
1. 3.2
2. 7.2
3. 8.4
4. 10

Answer (2) : 7.2

• An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of
1. 200 kmph
2. 800 kmph
3. 550 kmph
4. 720 kmph

Answer (4) : 720 kmph

• If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:
1. 50 km
2. 80 km
3. 65 km
4. 55 km

Answer (1) : 50 km

• A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
1. 250 kmph
2. 100 kmph
3. 120 kmph
4. 330 kmph

Answer (3) : 120 kmph

• Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
1. 8 kmph
2. 11 kmph
3. 12 kmph
4. 14 kmph

Answer (3) : 12 kmph

Friends, hope you have solved all of the above questions using the speed, distance and time formula. We have one more question for you to solve. If you know the answer, please share the answer in the comment box or if not please do let us know and we will help you.

• It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
1. 4 : 2
2. 3 : 4
3. 3 : 2
4. 4 : 3

Good Luck! and Thank you.