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- Question
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
- Correct Answer
- 105 seconds
ExplanationLet the plane be at point A at t seconds and at point Bafter t + 30 secondsSince the motion is uniform, we can say that at time t+15 seconds, the plane is above the point isdiametrically opposite to the point P from where the angle is same.Now since the time taken to cover the full circle is 3 minutes (180seconds), the time taken by the planeto 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 5. 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
- 6. 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
- 7. To cover a distance of 333 km in 2 hours by a car, what should be the average speed of the car (in meter/second)?
Options- A. 166.5
- B. 46.25
- C. 83.25
- D. 92.5 Discuss
- 8. A missile travels at 1260 km/h. How many metres does it travel in one second?
Options- A. 322 metres
- B. 369 metres
- C. 384 metres
- D. 350 metres Discuss
- 9. To travel 612 km, an Express train takes 9 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed (in km/hr) of Rajdhani is
Options- A. 40.8
- B. 51
- C. 30.6
- D. 61.2 Discuss
- 10. Two cyclists P and Q cycle at 20 km/hr and 16 km/hr towards each other respectively. What was the distance (in kms) between them when they started if they met after 40 minutes?
Options- A. 36
- B. 30
- C. 25
- D. 24 Discuss
Time and Distance problems
Search Results
Correct Answer: 8.00 kmph
Explanation:
Avg speed = Tot dist/Tot time = (45+64+75)/23 = 184/23
= 8 kmph
Correct Answer: 332 m/s
Correct Answer: 10.2 km
Correct Answer: 1.125
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: 400 metres
Correct Answer: 46.25
Correct Answer: 350 metres
Correct Answer: 40.8
Correct Answer: 24
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