Time and Distance problems
- 1. A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?
Options- A. 20.57
- B. 24
- C. 28
- D. 26.52 Also asked in: Bank Exams
Correct Answer: 24
- 2. A person goes from point N to P and comes back. His average speed for the whole journey is 60 km/hr. If his speed while going from N to P is 40 km/hr, then what will be the speed of the person (in km/hr) while coming back from P to N?
Options- A. 80
- B. 100
- C. 120
- D. 140 Also asked in: Bank Exams
Correct Answer: 120
- 3. A starts from a point at a speed of 30 metre/second. After 3 seconds, B starts chasing A from the same point with a speed of 50 metre/second. What will be the total distance (in metres) travelled by A and B before A is caught by B?
Options- A. 360
- B. 450
- C. 600
- D. 720 Also asked in: Bank Exams
Correct Answer: 450
- 4. After repairing a scooter runs at a speed of 54 km/h and before repairing runs at speed of 48 km/h. It covers a certain distance in 6 hours after repairing. How much time will it take to cover the same distance before repairing?
Options- A. 6 hours 15 minutes
- B. 6 hours 45 minutes
- C. 7 hours
- D. 7 hours 30 minutes Also asked in: Bank Exams
Correct Answer: 6 hours 45 minutes
- 5. A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?
Options- A. 8:00
- B. 4:00
- C. 6:30
- D. 5:30 Also asked in: Bank Exams
Correct Answer: 6:30
- 6. A man makes four trips of equal distances. His speed on first trip was 60 km/hr and in each subsequent trip his speed was half of the previous trip. What is the average speed (in km/hr) of the man in these four trips?
Options- A. 16
- B. 30
- C. 28.125
- D. 27.5 Also asked in: Bank Exams
Correct Answer: 16
- 7. Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?
Options- A. 120
- B. 110
- C. 105
- D. 100 Also asked in: Bank Exams
Correct Answer: 120
Explanation:
Distance covered by A till 6pm = 60 km
Distance covered by A till 7 pm = 120 km
Time taken by B to catch A = 60/(80-60 ) = 3 hrs
So A and B will meet at 6pm + 3 hrs = 9pm
Since we know that all three met at the same time
The time taken by C to cover 120 km
difference will be = 9pm ?7pm = 2hrs
Therefore,(x ?60 )*2 = 120x = 120 km/hr
- 8. A man travelled a distance of 50 km in 8 hours. He travelled partly on foot at 5 km/hr and partly on bicycle at 7 km/hr. What is the distance (in kms) travelled on foot?
Options- A. 20
- B. 25
- C. 15
- D. 30 Also asked in: Bank Exams
Correct Answer: 15
- 9. To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?
Options- A. 60
- B. 72
- C. 66
- D. 78 Also asked in: Bank Exams
Correct Answer: 72
- 10. A train is moving at the speed of 72km/hr. How many seconds will it take to cover a distance of 1400 m ?
Options- A. 70
- B. 80
- C. 72
- D. 84 Also asked in: Bank Exams
Correct Answer: 70
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