Time and Distance problems
- 1. A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ?
Options- A. 1.5 hrs
- B. 1.7 hrs
- C. 2.2 hrs
- D. 3.5 hrs Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 2.2 hrs
Explanation:
Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs
Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.
- 2. Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
Options- A. 2/3 hrs
- B. 3/4 hrs
- C. 1/3 hrs
- D. 1/4 hrs Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 3/4 hrs
Explanation:
Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time. In other words, the time taken is 1/3rd more than his usual time
so 1/3rd of the usual time = 15min
or usual time = 3 x 15 = 45min = 45/60 hrs = 3/4 hrs.
- 3. 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 Also asked in: Bank Exams
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
- 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 Also asked in: Bank Exams
Correct Answer: 7.6 m/s
- 5. 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 Also asked in: Bank Exams
Correct Answer: 3
- 6. 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 Also asked in: Bank Exams
Correct Answer: 990 km
- 7. 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
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.
- 8. 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 Also asked in: Bank Exams
Correct Answer: 1.125
- 9. 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 Also asked in: Bank Exams
Correct Answer: 10.2 km
- 10. 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 Also asked in: Bank Exams
Correct Answer: 332 m/s
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