Mock test 01 ( Time and Distance) Easy Level

In this page we have created a free math MCQ mock test of 25 questions on Mathematics which can be handy for the exam you are preparing . 

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45:00

1. Ramesh drives from his home at a speed of `40` km/h and reaches his college `25` minutes late. The next day he increases his speed by `10` km/h, yet he is late by `10` minutes. How far is his college from his home?

A) `50` km
B) `55` km
C) `45` km
D) `60` km

Correct Answer : A) `50` km.

2. A thief was spotted by a policeman from a distance of `225` metres. When the policeman started the chase, the thief also started running. If the speed of the thief was `11` km/h and that of the policeman was `13` km/h, how far would the thief have run, before the policeman caught up with him?

A) `1237.5` metres
B) `1137.5` metres
C) `1357.5` metres
D) `1256.5` metres

Correct Answer : A) `1237.5` metres

3. Rakesh runs `4/3` times as fast as Mukesh. In a race, if Rakesh gives a lead of `60` m to Mukesh, find the distance from the starting point where both of them will meet.

A) `232` m
B) `240` m
C) `264` m
D) `255` m

Correct Answer : B) `240` m

4. The time taken (in sec.) by a `180` m long train running at a speed of `54 `km/h to cross a man standing on the platform is:

A) `10`
B) `12`
C) `11`
D) `9`

Correct Answer : B) `12`

5. A man completes a journey in `10 hours`. He travels at a speed of `21` km/h for the first half of the journey and at a speed of `24` km/h for the second half. Calculate the total distance travelled (in kilometres).

A) `212`
B) `224`
C) `235`
D) `230`

Correct Answer : B) `224`

6. Two trains each `200` m long are moving in opposite directions. They cross each other in `10` seconds. If the speed of one train is `90` km/h, find the speed of the other train.

A) `90` km/h
B) `45` km/h
C) `54` km/h
D) `36` km/h

Correct Answer : C) `54` km/h

7. The distance travelled by a person varies directly with the duration of the journey. If the person travels `378 km` in `7 hours`, in how many hours will the person cover `918 km`?

A) `16`
B) `15`
C) `18`
D) `17`

Correct Answer : D) `17`

8. The speed of a train is `108` km/h. The distance covered by the train in `11` seconds will be:

A) `620` m
B) `540` m
C) `440` m
D) `330` m

Correct Answer : D) `330` m

9. A bus goes to Mumbai from Delhi at the speed of `60` km/h for `60%` of the journey, and covers the remaining part of its journey at the speed of `70` km/h. What is the average speed of the bus (in km/h) during the entire journey?

A) `67`
B) `64`
C) `66`
D) `65`

Correct Answer : B) `64` km/h

10. Ram is travelling at a speed of `72` km/h while Shyam is travelling at a speed of `90` km/h. What is the difference in their speeds (in metres per second)?

A) `5`
B) `4`
C) `6`
D) `7`

Correct Answer : A) `5`

11. Suraj travels `124` km at a speed of `31` km/h by bus, `96` km at a speed of `16` km/h using a car, and another `105 km` at `7` km/h by car. Find his average speed for the entire distance travelled.

A) `13`
B) `21`
C) `15`
D) `18`

Correct Answer : A) `13` km/h

12. A thief is noticed by a policeman from a distance of `650` m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of `8` km/h and `10.5` km/h respectively. The distance (in metres) between them after `12` minutes is:

A) `150`
B) `85`
C) `125`
D) `100`

Correct Answer : A) `150`

13. The average speed of a train running at a speed of `30` km/h during the first `100` km, at the speed of `40` km/h during the second `100` km and at the speed of `50` km/h during the last `100` km is nearly:

A) `40.2`
B) `38.3`
C) `39.2`
D) `37.5`

Correct Answer : B) `38.3`

14. A car covers a certain distance travelling at a speed of `60` km/h and returns to the starting point at a speed of `40` km/h. The average speed of the car for the entire journey is:

A) `20`
B) `48`
C) `120`
D) `50`

Correct Answer : B) `48`

15. With an average speed of `42` km/h, a train reaches its destination in time. If it moves with an average speed of `14` km/h, it is late by `35` minutes. The length of the journey is:

A) `12.25`
B) `12.15`
C) `10.25`
D) `11.25`

Correct Answer : A) `12.25`

16. A train covers the distance between two stations `X` and `Y` in `6` hours. If the speed of the train is reduced by `13` km/h, then it travels the same distance in `9` hours. Find the distance between the two stations:

A) `220`
B) `234`
C) `185`
D) `215`

Correct Answer : B) `234`

17. Two trains leave Agra for Calcutta at `9:00` a.m. and `9:30` a.m., respectively, and travel at `240` km/h and `300` km/h, respectively. How many kilometers from Agra will the two trains meet?

A) `270`
B) `300`
C) `600`
D) `240`

Correct Answer : C) `600`

18. A man travelled by car from city A to city B at a speed of `24` km/h and returned from city B to city A at `16` km/h. Find his average speed over the whole journey.

A) `19.5`
B) `20`
C) `19`
D) `19.2`

Correct Answer : D) `19.2`

19. Malay walks around a circular field at the rate of `7` rounds per hour, while Neha runs around it at the rate of `11` rounds per hour. They start in the same direction from the same point at `02:45` p.m. They shall first cross each other at:

A) `03:00` p.m.
B) `03:05` p.m.
C) `02:50` p.m.
D) `03:00` a.m.

Correct Answer : A) `03:00`p.m.

20. A train crosses a `400` m-long platform in `50` seconds. It crosses another `600` m-long platform in 60 seconds. What are the length and the speed of the train?

A) `600` m; `72` km/h
B) `550` m; `75` km/h
C) `500` m; `70` km/h
D) `650` m; `74` km/h

Correct Answer : A) `600` m; `72` km/h .

21. Sunila drove her car at an average speed of `45` km/h for the first `75` km of a trip, and then at an average speed of `70` km/h for the remaining `45` km of the trip. If she made no stops during the trip, what was Sunila's average speed (in km/h) for the entire trip?

A) `52`
B) `51`
C) `51\frac{3}{7}`
D) `51 \frac{93}{97}`

Correct Answer : D) `51 \frac{93}{97}` .

22. A thief is spotted by a policeman from a distance of `480` m. When the policeman starts the chase, the thief also starts running. If the speed of the thief is `19` km/h and that of the policeman is `23` km/h, then how far would the thief have to run before he is overtaken?

A) `2080` m
B) `2280` m
C) `2290` m
D) `2180` m

Correct Answer : B) `2280` m

23. Roshni travelled at the speed of `66` km/h while going from point A to point B and returned via the same route at the speed of `92.4` km/h. What was Roshni's overall average speed during the two-way journey?

A) `79`
B) `79.2`
C) `78`
D) `77`

Correct Answer : D) `77`

24. A man rides his bicycle for `10` kilometres at a speed of `12` kilometres per hour, then for another `12` kilometres at a speed of 10 kilometres per hour. What is his average speed for the entire trip approximately?

A) `10.8`
B) `11.8`
C) `11.4`
D) `10`

Correct Answer : A) `10.8` .

25. Priya covers a certain distance by her car at a speed of 21 km/h and returns at a speed of 17 km/h. What is her average speed during the trip?

A) `18\frac{15}{19}`
B) `19\frac{15}{17}`
C) `17\frac{15}{23}`
D) `18\frac{19}{15}`

Correct Answer : A) `18\frac{15}{19}` .