Time and Distance problems
- 1. A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?
Options- A. 6:20
- B. 4:40
- C. 6:00
- D. 5:30 Also asked in: Bank Exams
Correct Answer: 4:40
- 2. A man walks 1 km on 1st day , 2 km on 2nd day , 3 km on 3rd day and so on . The total distance the man covers in 10 days is
Options- A. 40 Km
- B. 50 Km
- C. 55 Km
- D. 58 Km Also asked in: Bank Exams
Correct Answer: 55 Km
- 3. 37 trees are planted in a straight line such that distance between any two consecutive trees is same. A car takes 20 seconds to reach the 13th tree. How much more time (in seconds) will it take to reach the last tree?
Options- A. 36
- B. 40
- C. 57
- D. 60 Also asked in: AIEEE
Correct Answer: 40
- 4. A car travels a certain distance at 24 km/h and comes back at 36 km/h. Find the average speed for total journey.
Options- A. 28.8 km/hr
- B. 30 km/hr
- C. 27.6 km/hr
- D. 31.2 km/hr Also asked in: Bank Exams
Correct Answer: 28.8 km/hr
- 5. A gun is fired at a distance of 1.7 km from Ram and he hears the sound after 25 seconds. The speed of sound in meter per second is
Options- A. 60
- B. 62
- C. 64
- D. 68 Also asked in: Bank Exams
Correct Answer: 68
- 6. Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is:
Options- A. 336 km
- B. 280 km
- C. 420 km
- D. 224 km Also asked in: Bank Exams
Correct Answer: 280 km
- 7. A man travelled a distance of 61 km. in 9 hours , partly by walking at speed of 4 km / hr and partly on bicycle at speed of 9 km / hr. The distance covered by walking is
Options- A. 16 Km
- B. 12 Km
- C. 15 Km
- D. 17 Km Also asked in: Bank Exams
Correct Answer: 16 Km
- 8. B starts 4.5 minutes after A from the same point, for a place at a distance of 3.5 miles from the starting point. A on reaching the destination turns back and walk a mile where he meets B. If A's speed is a mile in 6 minutes then B's speed is a mile in ____ minutes?
Options- A. 8
- B. 10
- C. 12
- D. 9 Also asked in: Bank Exams
Correct Answer: 9
- 9. Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Options- A. 12 a.m.
- B. 1 p.m.
- C. 11 a.m.
- D. 12 p.m. Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 12 p.m.
Explanation:
Assume both trains meet after 'p' hours after 7 a.m.
Distance covered by train starting from A in 'p' hours = 20p km
Distance covered by train starting from B in (p-1) hours = 25(p-1)
Total distance = 200
=> 20x + 25(x-1) = 200
=> 45x = 225
=> p= 5
Means, they meet after 5 hours after 7 am, ie, they meet at 12 p.m.
- 10. A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ?
Options- A. 48 kmph
- B. 50 kmph
- C. 46 kmph
- D. 42 kmph Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 48 kmph
Explanation:
we know that speed = distance traveled/time taken
let the total distance traveled by the car is 2x km.
then time taken by it to cover first half is x/60 hour.
and for second half is x/40 hour.
Then average speed= total distance travelled / total time taken.
i.e.
=>
= 48 kmph.
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