Discussion
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- Question
- 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.
- Correct Answer
- 3 km.
ExplanationLet 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. - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. A distance is covered in 2 hours 45 min at 4 km/hr How much time will be taken to cover it at 16.5 km/hr?
Options- A. 40 min.
- B. 41 min. 15 sec.
- C. 45 min.
- D. 90 min. Discuss
- 8. If a man takes 4 hours to cover a distance of 15 km. how much time will be needed to cover 63 km. at the same speed?
Options- A. 12 hrs. 36 min.
- B. 16 hrs. 48 min.
- C. 16 hrs. 4 min.
- D. 15 hrs. 32 min. Discuss
- 9. A train is moving with a speed of 92.4 km/hr. how many meters will it cover in 10 min.?
Options- A. 1540
- B. 15400
- C. 154
- D. 15.4 Discuss
- 10. if a man cover 10.2 km. in 3 hours. The distance covered by him in 5 hours is?
Options- A. 18 km.
- B. 15 km.
- C. 16 km.
- D. 17 km. Discuss
Time and Distance problems
Search Results
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.
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.
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.
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.
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.
Correct Answer: 6 km.
Explanation:
Let The required distance be y km.
Then, y/3 + y/2 = 5
? 2y + 3y = 30
? y = 6 km
Correct Answer: 40 min.
Explanation:
Distance = (4 x 11/4 )km.
= 11 km.
? Req. Time = 11km / (33/2) km/hr
= 2 x (11 / 33) hr.
=(2 / 3) x 60 minutes
= 40 minutes
Correct Answer: 16 hrs. 48 min.
Explanation:
Required time = (4 / 15) x 63 hrs.
= 16 hrs. 48 min
Correct Answer: 15400
Explanation:
Speed in m/sec = ( 5 / 18 ) x Speed in kms/hr.
92.4 kms/hr = 92.4 x (5 / 18) m/sec.
? Req. distance = 92.4 x ( 5 / 18 ) x 600 meters
= 15400 m.
Correct Answer: 17 km.
Explanation:
Speed = 10.2 / 3 km/hr.
= 3.4 km/hr.
Distance covered in 5 hours = 3.4 X 5 km.
= 17 km
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