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- Question
- A train 350 m long is moving at the speed of 20 km/h. It will cross a man coming from the opposite direction at the speed of 1 km/h in?
Options- A. 27 sec
- B. 35 sec
- C. 45 sec
- D. 60 sec
- Correct Answer
- 60 sec
ExplanationRelative speed = 20 + 1 = 21 km/h = 21 x 5/18 = 35/6 m/s
Time = Length of train / Relative speed = (350/35) x 6 = 60 s - 1. A dog starts chasing to a cat 2 hours later. It takes 2 hours to dog to catch the cat. If the speed of the dog is 30 Km/h. What is the speed of the cat?
Options- A. 10 km/h
- B. 15 km/h
- C. 20 km/h
- D. can't be determined Discuss
- 2. A car travels a distance of 840 km at uniform speed. If the speed of the car is 10 km/hr more. It takes two hours less to cover the same distance. The original speed of the car was?
Options- A. 45 km/hr.
- B. 50 km/hr.
- C. 60 km/hr .
- D. 75 km/hr. Discuss
- 3. Two train start at the same time Aligarh and Delhi and processed toward each other at 16 km/hr and 21 km/hr respectively when they meet, it is found that one train has travelled 60 km more than the other. The distance between two station is?
Options- A. 445 km.
- B. 444 km.
- C. 440 km.
- D. 450 km. Discuss
- 4. A thief steals a car at 1:30 p.m. and drives it at 45 km an hour. The theft is discovered at 2 p.m. and the owner sets off in another car at 50 km an hour. He will overtake the thief at?
Options- A. 3:30 p.m.
- B. 4 p.m.
- C. 4:30 p.m.
- D. 6 p.m. Discuss
- 5. Ram travels a certain distance at 3 km/hr and reaches 15 min late. If he travels at 4 km/hr he reaches 15 min earlier. The distance he has to travel is?
Options- A. 4.5 km.
- B. 6 km.
- C. 7.2 km.
- D. 12 km. Discuss
- 6. The length of Lucknow mail is 120m and that of punjab mail is 80 m. These two trains are running in the same direction with velocities of 40 km/h and 50 km/h respectively. The time taken by them to cross each other is?
Options- A. 8 sec.
- B. 72 sec.
- C. 11.5 sec.
- D. 12.5 sec. Discuss
- 7. A train passes an electric pole in 10 seconds and a platform 120 m long in 18 seconds. Its length in meters is?
Options- A. 150 m
- B. 130 m
- C. 240 m
- D. 180 m Discuss
- 8. The wheel of an engine of 300 cm in circumference makes 10 revolution in 6 seconds. what is the speed of the wheel (in km/h)?
Options- A. 18
- B. 20
- C. 27
- D. 36 Discuss
- 9. Anjali fires two bullets from the same place at the interval of 6 minutes but Bhagwat sitting in a car approaching the place of firing hears the second fire 5 min 32 sec after the first firing. What is the speed of car, if the speed of sound is 332 m/s?
Options- A. 56 m/s
- B. 102 m/s
- C. 28 m/s
- D. 32 m/s Discuss
- 10. A car crosses a man walking at 6 km/h. The man can see the things up to 450m only in one direction due to fog. He sees the car which was going in the same direction for 4.5 minutes. What is the speed of the car?
Options- A. 9 km/h
- B. 12 km/h
- C. 12.5 km/h
- D. 15 km/h Discuss
Time and Distance problems
Search Results
Correct Answer: 15 km/h
Explanation:
Time = Distance advanced / Relative speed
2 = 2x / (30 - x)
? x = 15 km/h
Correct Answer: 60 km/hr .
Explanation:
Let the original speed be x km/hr.
Then, [ 840/x - 840/( x + 10) ] = 2
? 840 (x + 10) - 840x = 2x (x+10)
? x2 + 10x - 4200 = 0
? (x + 70) (x - 60 ) = 0
? x = 60 km/hr.
Correct Answer: 444 km.
Explanation:
Suppose they meet after y hours .
Then, 21y - 16y = 60
? y = 12
?required distance = (16 x 12 + 21 x 12) km.
= 444 km.
Correct Answer: 4 p.m.
Explanation:
Distance covered by thief in (1/2 ) hour = 20 km.
Now , 20 km is compensated by the owner at a relative speed of 10 km/hr in 2 hours so, he overtake the thief at 4 p.m.
Correct Answer: 6 km.
Explanation:
Let the distance be x km.
Then, x/3 - x/4 = 30/60
? (4x - 3x ) / 12 = 1/2
? x = 6 km.
Correct Answer: 72 sec.
Explanation:
Relative speed = 50 - 40 = 10 km/h = 50/18 m/s
? Time taken = Sum of length of the trains / Relative speed
= (200/50) x 18 = 72 sec.
Correct Answer: 150 m
Explanation:
Let the length of train be x m, then
x/10 = (120 + x)/18
? x = 150m
Correct Answer: 18
Explanation:
Circumferences means one resolutions .
Therefore, distance covered in 10 resolutions =300 x 10 = 30 m
i.e., 30 meters in 6 seconds.
? Speed of wheel = 30/6 m/s = 5 m/s
? 5 m/s = 5 x (18/5) = 18 km/h
Correct Answer: 28 m/s
Explanation:
(speed of wind) / (speed of car) = (Time utilised) / (time saved)
? 332/x = 332/28
? x = 28 m/s
Correct Answer: 12 km/h
Explanation:
Time = Total distance / Relative speed
4.5/60 hr. = (450/1000) / x
? x = 6 km/h
Relative speed = Speed of car - Speed of man
6 = x - 6
? x = 12 km/h
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