Time and Distance problems
- 1. 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
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
- 2. 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
Correct Answer: 16 hrs. 48 min.
Explanation:
Required time = (4 / 15) x 63 hrs.
= 16 hrs. 48 min
- 3. 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
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.
- 4. 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
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
- 5. A man crosses a streets 600 m long in 5 minutes. His speed in km per hour is?
Options- A. 7.2
- B. 3.6
- C. 10
- D. 8.4 Discuss
Correct Answer: 7.2
Explanation:
Speed = 600 / (5 x 60) m/sec.
= 600 / (5 x 60) x 18/5 km/hr.
= 7.2 km/hr.
- 6. A and B are two towns. Mr. Faruqui covers the distance from A to B on cycle at 16 km/hr. however, he cover the distance from B to A on foot at 9 km/hr. his average speed during the whole journey is?
Options- A. 12.5 km/hr.
- B. 10.25 km/hr.
- C. 11.52 km/hr.
- D. 12.32 km/hr. Discuss
Correct Answer: 11.52 km/hr.
Explanation:
Average Speed = Total distance / time
= 2d / [( d / 16) + ( d / 9)]
= ( 2 x 16 x 9 ) / ( 16 + 9 ).
= 11.52 km/hr.
Shortcut :
Average speed = 2uv / (u + v)
= ( 2 x 16 x 9 ) / ( 16 + 9 )
= 11.52
- 7. A speed of 22.5 m/sec. is the same as?
Options- A. 40.5 km/hr.
- B. 81 km/hr.
- C. 36.8 km/hr .
- D. 72 km/hr. Discuss
Correct Answer: 81 km/hr.
Explanation:
Speed in km/hr = speed in m/sec x (18 / 5 )
Speed in km/hr = (22.5 x 18 /5 ) km/hr
= 81 km/hr.
- 8. A speed of 55 m / sec. is the same as?
Options- A. 198 km/hr.
- B. 11 km/hr.
- C. 15 5/18 km/hr.
- D. 275 km/hr. Discuss
Correct Answer: 198 km/hr.
Explanation:
Speed in km/hr = speed in m/sec x (18 / 5 )
Speed in km/hr = ( 55 x 18 /5 ) km/hr
= 198 km/hr.
- 9. A speed of 30.6 km/hr. is the same as?
Options- A. 5.1 m/sec.
- B. 8.5 m/sec.
- C. 110.16 m/sec.
- D. 1.7 m/sec. Discuss
Correct Answer: 8.5 m/sec.
Explanation:
Speed in m/sec = speed in km/hr x (5 / 18 )
Speed in m/sec = ( 30.6 x 18 /5 ) m/sec
= 8.5 m/sec
- 10. A speed of 36 km/hr. is the same as?
Options- A. 10 m/sec.
- B. 7.2 m/sec.
- C. 2 m/sec.
- D. 129.6 m/sec. Discuss
Correct Answer: 10 m/sec.
Explanation:
Speed in m/sec = speed in km/hr x (5 / 18 )
Speed in m/sec = ( 36 x 5/18 ) m/sec
= 10 m/sec
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