Time and Distance is a topic in the Quantitative section of the Aptitude exam. Questions in this section are framed in a confusing way. So, make sure that you practice different level of questions in order to have flexibility while solving problems related to this concept.

Important topics covered in this section are Time and Distance model 1,2,3 etc. To make your preparation easy we have compiled the most important 20 questions from this topic. Make sure you dedicate considerable time to solve these questions with integrity.

We assume that you have completed Time and Work practice before coming to this page if not make sure you solve questions from Time and Work. Second, after you complete this section solve questions from Problems on Trains.

If you are already thorough with all the concepts of quantitative aptitude then move on to reasoning ability and verbal ability.

Q1

A car moves at the speed of 80 km/hr. What is the speed of the car in meters per second?

Level 1
Time and Distance
Model I

A

8 m/sec

B

\(20\frac{1}{9}m/sec\)

C

\(22\frac{2}{9}m/sec\)

D

none of these

Q2

A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. The ratio of their speed is:

Level 1
Time and Distance
Model II and III

A

3:4

B

4:3

C

3:5

D

50:3

Q3

The ratio between the speeds of two trains is 7:8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:

Level 1
Time and Distance
Model I

A

70 km/hr

B

75 km/hr

C

84 km/hr

D

87.5 km/hr

Q4

Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree, 11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?

Level 1
Time and Distance
Model I

A

2197 ft

B

2420 ft

C

2500 ft

D

2629 ft

Q5

A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km/hr, the time taken by it to cover the same diatance will be:

Level 1
Time and Distance
Model II and III

A

10 min

B

11 min 20 sec

C

13 min

D

13 min 20 sec

Q6

A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km

Level 1
Time and Distance
Model II and III

A

220

B

224

C

230

D

234

Q7

A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is:

Level 1
Time and Distance
Model II and III

A

2

B

3

C

4

D

5

Q8

A car travels the first one-third of a certain distance with a speed of 10 km/hr, the next one-third distance with a speed of 20 km/hr, and the last one-third distance with a speed of 60 km/hr. The average speed of the car for the whole journey is

Level 1
Time and Distance
Model II and III

A

18 km/hr

B

24 km/hr

C

30 km/hr

D

36 km/hr

Q9

A motor car starts with the speed of 70 km/hr with its speed increasing every two hours by 10 km/hr. In how many hours will it cover 345 kms?

Level 2
Time and Distance
Model II and III

A

2\(\frac{1}{4}\) hrs

B

4 hrs 5 min

C

4\(\frac{1}{2}\) hrs

D

cannot be determined

E

none of these

Q10

Anna left for city A from city B at 5.20 a.m. She travelled at the speed of 80 km/hr for 2 hours 15 minutes. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Anna reach city A?

Level 2
Time and Distance
Model IV

A

9.20 a.m.

B

9.25 a.m.

C

9.35. a.m.

D

10.05 am

E

None of these

Q11

A car travelling with 5/7 of its actual speed covers 42 km in 1 hrs 40 min 48 sec. Find the actual speed of the car.

Level 2
Time and Distance
Model II and III

A

17 \(\frac{6}{7}\) km/hr

B

25 km/hr

C

30 km/hr

D

35 km/hr

Q12

A man covered a certain distance at some speed. Had he moved 3 km/hr faster, he would have taken 40 minutes less. If he had moved 2 km/hr slower, he would have taken 40 minutes more. The distance (in km) is:

Level 2
Time and Distance
Model IV

A

35

B

36 \(\frac{2}{3}\)

C

37 \(\frac{1}{2}\)

D

40

Q13

In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhays speed is:

Level 2
Time and Distance
Model IV

A

5 km/hr

B

6 km/hr

C

6.25 km/hr

D

7.5 km/hr

Q14

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 car is:

Level 2
Time and Distance
Model II and III

A

2:3

B

3:2

C

3:4

D

4:3

Q15

Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has travelled 100 km more than the second. The distance between P and Q is:

Level 2
Time and Distance
Model IV

A

500 km

B

630 km

C

660 km

D

900 km

Q16

A monkey climbing up a pole ascends 6 metres and slips 3 metres in alternate minutes. If the pole is 60 metres high, how long will it take the monkey to reach the top?

Level 2
Time and Distance

A

31 min

B

33 min

C

35 min

D

37 min

Q17

Two men at points R and S, 76 km apart set out at the same time to walk towards each other. The man at R walks uniformly at the rate of 4\(\frac{1}{2}\) km/hr; the man at S walks at the constant rate of 3\(\frac{1}{4}\) km/hr for the first hour, at 3\(\frac{3}{4}\) km/hr for the second hour, and so on, in arithmetic progression. IF the men meet x km nearer R than S is an integral number of hours, then x is

Level 3
Time and Distance
Model IV

A

4

B

6

C

8

D

10

Q18

Train X leaves New York at 1 A.M. and travels east at a constant speed of x mph. If train Z leaves New York at 2 A.M. and travels east, at what constant rate of speed will train Z have to travel in order to catch train X at exactly 5 : 30 A.M.

Level 3
Time and Distance
Model II and III

A

\(\frac{5x}{6}\)

B

\(\frac{9x}{8}\)

C

\(\frac{6x}{5}\)

D

\(\frac{9x}{7}\)

E

\(\frac{3x}{2}\)

Q19

A ship, 40 km from the shore, springs a leak which admits 3\(\frac{3}{4}\) tonnes of water in 12 minutes. 60 tonnes would suffice to sink her, but the ship's pumps can throw out 12 tonnes of water in one hour. Find the average rate of sailing, so that she may reach the shore just as she begins to sink.

Level 3
Time and Distance
Model II and III

A

1\(\frac{1}{2}\) km per hour

B

2\(\frac{1}{2}\) km per hour

C

3\(\frac{1}{2}\) km per hour

D

4\(\frac{1}{2}\) km per hour

Q20

Aryan runs at a speed of 40 metres/minute. Rahul follows him after an interval of 5 minutes and runs at a speed of 50 metres/minute. Rahul's dog runs at a speed of 60 metres/minutes and starts along with Rahul. The dog reaches Aryan and then comes back to Rahul, and continues to do so till Rahul reaches Aryan. What is the total distance covered by the dog?

Level 3
Time and Distance
Model II and III

A

600 m

B

750 m

C

980 m

D

1200 m

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