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- Question
A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases hisspeed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?
Options- A. 1
- B. 1.25
- C. 1.125
- D. 1.5
- Correct Answer
- 1.125
- 1. A car runs at the speed of 50 kms per hour when not serviced and runs at 60 km./hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced?
Options- A. 8.2 hrs
- B. 6.5 hrs
- C. 8 hrs
- D. 7.2 hrs Discuss
- 2. Two buses travel to a place at 45 km/hr and 60 km/hr respectively. If the second bus takes 51?2 hours less than the first for the journey, the length of the journey is:
Options- A. 900 km
- B. 940 km
- C. 990 km
- D. 1300 km Discuss
- 3. Vishnu travelled equal distances at speeds of 10 kmph, 30 kmph and 8 kmph and took a total of 15.5 min to complete. Find the total distance he travelled, in km.
Options- A. 1
- B. 3
- C. 4
- D. 2 Discuss
- 4. An object travels 23 m in 3 s and then another 15 m in 2 s. What is the average speed of the object?
Options- A. 7.6 m/s
- B. 8.0 m/s
- C. 7.6 m
- D. 8.0 s Discuss
- 5. An inspector is 228 meter behind the thief. The inspectorruns 42 meters and the thief runs 30 meters in a minute. Inwhat time will the inspector catch the thief?
Options- A. 19 minutes
- B. 20 minutes
- C. 18 minutes
- D. 21 minutes Discuss
- 6. Raghu goes to college at a speed of 4 kmph and returns at a speed of 3 kmph. If he takes 5.95 hrs in all, then what is the distance between his home and the college?
Options- A. 10.2 km
- B. 10.5 km
- C. 10 km
- D. 20 km Discuss
- 7. A gun is fired at a distance of 6.64 km away from Ram. He hears the sound 20 seconds later. Then the speed of sound is
Options- A. 664 m/s
- B. 664 km/s
- C. 332 m/s
- D. 332 km/s Discuss
- 8. A race has three parts. The speed and time required to complete the individual parts for a runner is displayed on the following chart: Part I Part II Part III Speed (kmph) 9 8 7.5 Time (minutes) 50 80 100 What is the average speed of this runner?
Options- A. 8.17 kmph
- B. 8.00 kmph
- C. 7.80 kmph
- D. 7.77 kmph Discuss
- 9. A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?
Options- A. 75 seconds
- B. 90 seconds
- C. 105 seconds
- D. 135 seconds Discuss
- 10. A missile travels at 1440 km/h. How many metres does it travel in one second?
Options- A. 374 metres
- B. 385 metres
- C. 394 metres
- D. 400 metres Discuss
Time and Distance problems
Search Results
Correct Answer: 7.2 hrs
Explanation:
After servicing, the distance covered by car in 6 hours = 60 * 6 = 360 km Without servicing, speed of car = 50 kmph => Required time = Distance/speed = 360/50 = 7.2 hrs.
Correct Answer: 990 km
Correct Answer: 3
Correct Answer: 7.6 m/s
Correct Answer: 19 minutes
Explanation:
Inspector s 228 meter behind the thief and now aftersome x distance he will catch the thief. So
x/30 = 228+x/42 => x = 570 m
(228 + 570) / 42 = 19 min
Correct Answer: 10.2 km
Correct Answer: 332 m/s
Correct Answer: 8.00 kmph
Explanation:
Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23
= 8 kmph
Correct Answer: 105 seconds
Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
Correct Answer: 400 metres
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