Time and Distance problems
- 1. Laxman has to cover a distance of 6 km in 45 minutes . If he cover one half of the distance in 2/3 rd time . what should be his speed to cover the remaining distance in the remaining time?
Options- A. 12 km/hr.
- B. 16 km/hr.
- C. 3 km/hr.
- D. 8 km/hr. Discuss
Correct Answer: 3 km/hr.
Explanation:
? Time left = (1/3 X 45/60) hr.
= 1/4 hr.
Distance left = 3km
? speed required = [3 / (1/4) ] km/hr.
= 3 x 4
=12km/hr .
- 2. A train cover a distance in 50 minutes, if it runs at a speed of 48 km per hour on an average. The speed at which the train must run to reduce the time of journey to 40 minutes?
Options- A. 50 km/hr.
- B. 55 km/hr.
- C. 60 km/hr.
- D. 70 km/hr. Discuss
Correct Answer: 60 km/hr.
Explanation:
Total Distance = 48 x (50/60) km.
= 40 km
Required speed = [40 / (40/60)] km.
= (40 x 60 )/ 40 km/hr.
= 60 km/hr.
- 3. Excluding stoppages, the speed of a bus is 54 km/hr. and including stoppages it is 45 km/hr. for how many minutes does the bus stop per hour?
Options- A. 9
- B. 10
- C. 12
- D. 20 Discuss
Correct Answer: 10
Explanation:
Due to stoppages, it covers 9 km. less per hour
Required time = Time taken to cover 9 km.
= 9 / ( 54 /60) min
= 10 min
- 4. Two men start together to walk to a certain destination, one at 3.75 km an hour and another at 3 km an hour. The former arrives half an hour before the latter, the distance is?
Options- A. 9.5 km.
- B. 8 km.
- C. 7.5 km.
- D. 6 km. Discuss
Correct Answer: 7.5 km.
Explanation:
Let the distance be y km.
From question
y/3 - y/3.75 = 1/2
? (3.75y - 3y) / (3 x 3.75) = 1/2
? 1.5y= 3 x 3.75
? y = ( 3 x 3.75 ) / 1.5
= 7.5 km.
- 5. A car covers four successive three km stretches at speed of 10 km/hr, 20 km/hr, 30 km/hr and 60 km/hr. respectively. Its average speed over this distance is?
Options- A. 10 km/hr.
- B. 20 km/hr .
- C. 30 km/hr.
- D. 25 km/hr . Discuss
Correct Answer: 20 km/hr .
Explanation:
Total time taken = (3/10 + 3/20 + 3/30 + 3/60) hrs.
= 3/5 hrs.
? Average speed = {12 / (3 / 5)} km/hr.
= (12 x 5 ) / 3 km/hr.
= 20 km/hr.
- 6. A car complete a certain journey in 8 hour. It cover half the distance at 40 km/hr and the rest at 60 km/hr, The length of a journey is?
Options- A. 350 km.
- B. 420 km.
- C. 384 km.
- D. 400 km. Discuss
Correct Answer: 384 km.
Explanation:
Let the length of total journey be y km.
From question
( y/2 x 1/40 ) + ( y/2 x 1/60) = 8
? y/80 + y/120 = 8
? 3y + 2y = 1920
? y = 384 km.
- 7. Rahim covers a certain distance in 14 hrs 40 min. He covers one half of the distance by train at 60 km/hr. and rest half by road at 50 km/hr. The distance travelled by him is?
Options- A. 960 km.
- B. 720 km.
- C. 1000 km.
- D. 800 km. Discuss
Correct Answer: 800 km.
Explanation:
Let the total distance be y km.
Then, (y/2) x (1/60) + (y/2) x (1/50) = 44/3
? y/120 + y/100 = 44/3
? 5y + 6y = 8800
? y = 800
? Required distance = 800km.
- 8. A man perform 2/15 of the total journey by rail, 9/20 by tonga and the remaining 10 km on foot. This total journey is?
Options- A. 15.6 km.
- B. 12.8 km.
- C. 16.4 km.
- D. 24 km. Discuss
Correct Answer: 24 km.
Explanation:
Let the total journey be x km. then,
2x/15 + 9x/20 + 10 = x
? 8x + 27x + 600 = 60x
? x = 24
? Total journey = 24 km.
- 9. Shard cover two-third of a certain distance at 4 km/hr and the remaining at 5 km/hr. If he takes 42 minutes in all, the distance is?
Options- A. 2.5 km.
- B. 4.6 km.
- C. 4 km.
- D. 3 km. Discuss
Correct Answer: 3 km.
Explanation:
Let total distance be y km.
Then , (2y / 3) / 4 + ( y / 3) / 5 = 42/60
? y/6 + y/ 15 = 7/10
? 5y + 2y = 21
? y = 3
? Required distance = 3 km.
- 10. A boy goes to school with a speed of 3 km/hr. and return to the village with a speed of 2 km/hr. If he takes 5 hours in all, then distance between the village and the school is?
Options- A. 6 km.
- B. 7 km.
- C. 8 km.
- D. 9 km. Discuss
Correct Answer: 6 km.
Explanation:
Let The required distance be y km.
Then, y/3 + y/2 = 5
? 2y + 3y = 30
? y = 6 km
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