Time and Distance problems
- 1. A person goes to his office from his home at the speed of 4 km/h and return back at the speed of 6 km/h. Find the average speed of the person?
Options- A. 4.5 km/h
- B. 5 km/h
- C. 10 km/h
- D. 4.8 km/h Discuss
Correct Answer: 4.8 km/h
Explanation:
Average speed = 2ab/(a+b)
= (2 x 4 x 6)/(4 + 6)
= 48/10
= 4.8 km/h
- 2. If a person travel 39 km at a speed of 26 km/h, another 39 km at a speed of 39 km/h and 39 km again at a speed of 52 km/h . Then find the average speed of entire journey
Options- A. 35 km/h
- B. 35 km/h
- C. 36 km/h
- D. 40 km/h Discuss
Correct Answer: 36 km/h
Explanation:
Average speed of entire journey
= (39 + 39 + 39)/(39/26 + 39/39 +39/52)
= 3/(1/26 + 1/39 +1/52)
= 3/[(6 + 4 + 3)/156]
= 3 x 156/13 = 36 km/h
- 3. If speed of 3 1/ 3 m/s is converted to km/h, then it would be
Options- A. 8 km/h
- B. 9 km/h
- C. 10 km/h
- D. 12 km/h Discuss
Correct Answer: 12 km/h
Explanation:
? 1 m/s = 18/5 km/h
? 31/3 m/s = 10/3 m/s = (10/3) x (18/5) km/h
= 12 km/h
- 4. A car covers 300 km 15 h. Find the speed of the car?
Options- A. 20 km/h
- B. 25 km/h
- C. 15 km/h
- D. 24 km/h Discuss
Correct Answer: 20 km/h
Explanation:
We know that, speed = Distance / Time
? Required speed = 300/15 =20 km/h
- 5. A car covers a distance of 690 km in 30 h. What is the average speed of the car?
Options- A. 25 km/h
- B. 23 km/h
- C. 20 km/h
- D. 18 km/h Discuss
Correct Answer: 23 km/h
Explanation:
Required speed = Distance/ Time
= 690/30
= 23 km/h
- 6. A bus is running with a uniform speed of 37 km/h. What distance will be covered by bus in 8 h?
Options- A. 246 km
- B. 289 km
- C. 296 km
- D. 276 km Discuss
Correct Answer: 296 km
Explanation:
We know that, Speed = Distance / Time
? Required distance = Speed x Time
= 37 x 8 = 296 km
- 7. A bus covers a distance of 400 km with a speed of 20 km/h. What time is taken by the bus to cover this distance?
Options- A. 25 h
- B. 5 h
- C. 21 h
- D. 20 h Discuss
Correct Answer: 20 h
Explanation:
We know that, speed = Distance / Time
? Required Time = Distance / Speed = 400/20 = 20 h
- 8. The speed of a bus is 72 km/h. The distance Covered bye the bus in 5 s is
Options- A. 50 m
- B. 74.5 m
- C. 100 m
- D. 60 m Discuss
Correct Answer: 100 m
Explanation:
Given, speed of bus = 72 km/h = 72 x 5/18 = 20 m/s
? Distance travelled in 5 s = 5 x 20 = 100 m
- 9. Ram and Shyam are moving in the directions opposite to each other. The Speeds of both persons are 10 km/h and 6 km/h, respectively. Find the speeds of Ram with respect of Shyam.
Options- A. 6 km/h
- B. 16 km/h
- C. 4 km/h
- D. 8 km/h Discuss
Correct Answer: 16 km/h
Explanation:
We know that for relative speed, the two speeds will be added, if the motions of the two objects are in opposite directions.
? Required speed = 10 + 6 = 16 km/h
- 10. Two cars are moving in the same direction with their respective speeds of 9 km/h and 5 km/h. Find the relative speed of 1st car with respect of 2nd.
Options- A. 2 km/h
- B. 4 km/h
- C. 8 km/h
- D. 6 km/h Discuss
Correct Answer: 4 km/h
Explanation:
We know that for relative speed, the subtraction of speeds takes place, if the motions of the two objects are in the same direction.
? Required relative speed = 9 - 5 = 4 km/h
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