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- Question
A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Options- A. 600
- B. 750
- C. 1000
- D. 1250
- Correct Answer
- 1250
Explanationspeed = (5x5/18)m/sec
= 25/18 m/sec.
Distance covered in 15 minutes = (25/18 x 15 x 60)m
= 1250 m. - 1. A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Options- A. 4 hours
- B. 4 hours 30 minutes
- C. 4 hours 45 minutes
- D. 5 hours Discuss
- 2. How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr?
Options- A. 50 sec
- B. 52 sec
- C. 54 sec
- D. 56 sec Discuss
- 3. Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?
Options- A. 30 km/h
- B. 15 km/h
- C. 25 km/h
- D. 20 km/h Discuss
- 4. Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h
Options- A. 90 km/h
- B. 160 km/h
- C. 67.5 km/h
- D. None of these Discuss
- 5. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Options- A. 100 m
- B. 150 m
- C. 190 m
- D. 200 m Discuss
- 6. A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is
Options- A. 35.55 km/hr
- B. 36 km/hr
- C. 71.11 km/hr
- D. 71 km/hr Discuss
- 7. The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Options- A. 10 a.m
- B. 10.30 a.m
- C. 11 a.m
- D. 11.30 a.m Discuss
- 8. Akash leaves mumbai at 6 am and reaches Bangalore at 10 am . Prakash leaves Bangalore at 8 am and reaches Mumbai at 11:30 am. At what time do they cross each other?
Options- A. 10 am
- B. 8:32 am
- C. 8:56 am
- D. 9:20 am Discuss
- 9. In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?
Options- A. 182 m
- B. 152 m
- C. 172 m
- D. 162 m Discuss
- 10. A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6km/h and passes them completely in 36 seconds and 30 seconds respectively. The length of the train is:
Options- A. 120m
- B. 150m
- C. 125m
- D. None of these Discuss
Time and Distance problems
Search Results
Correct Answer: 4 hours 45 minutes
Explanation:
Time taken in walking both ways = 7 hours 45 minutes --------(i)
Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)
By equation (ii)*2 -(i), we have
Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes
= 4 hours 45 minutes
Correct Answer: 56 sec
Explanation:
Speed = 9 km/hr = 9 x (5/18) m/sec = 5/2 m/sec
Distance = (35 x 4) m = 140 m.
Time taken = 140 x (2/5) sec= 56 sec
Correct Answer: 20 km/h
Explanation:
If the speed of the faster horse be and that of slower horse be then
and
Now, you can go through options.
The speed of slower horse is 20km/h
Since, 20+30=50
and
Correct Answer: 160 km/h
Explanation:
Correct Answer: 100 m
Explanation:
Relative speed of the thief and policeman = (11 ? 10) km/hr = 1 km/hr
Distance covered in 6 minutes = (1/60) x 6 km = 1/10 km = 100 m
Therefore, Distance between the thief and policeman = (200 ? 100) m = 100 m.
Correct Answer: 71.11 km/hr
Explanation:
Total time taken = (160/64 + 160/8)hrs
= 9/2 hrs.
Average speed = (320 x 2/9) km.hr
= 71.11 km/hr.
Correct Answer: 11 a.m
Explanation:
Suppose they meet x hrs after 8 a.m
then,
[Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.
Therefore, 60x + 75(x-1) = 330.
=> x=3.
So,they meet at (8+3) i.e, 11a.m.
Correct Answer: 8:56 am
Explanation:
Time taken by Akash = 4 h
Time taken by Prakash = 3.5 h
For your convenience take the product of times taken by both as a distance.
Then the distance = 14km
Since, Akash covers half of the distance in 2 hours(i.e at 8 am)
Now, the rest half (i.e 7 km) will be coverd by both prakash and akash
Time taken by them = 7/7.5 = 56 min
Thus , they will cross each other at 8 : 56am.
Correct Answer: 172 m
Explanation:
Ratio of speeds of A:B = 1000:900 = 100:90 Ratio of speeds of B:C = 1000:920 = 100:92 Therefore, when A moves 1000m, B moves 900 m and when B moves 900m, C moves 828m Since, C moves 8 % less than B at the same time. Thus, C is the worst performer and A will win by him by 172 m
Correct Answer: 150m
Explanation:
Let the length of the train e x meter, and let the speed of train be y km/h, then
--------(1) and
---------(2)
From eq (1) and (2), we get
y = 12 km/h
Therefore, => x= 150 m
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