(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Time & Distance (MCQ -12)

1. Mac travels from A to B a distance of 250miles in 5½ hours. He returns to A in 4 hours 30 minutes. His average speed is:
(a) 42 mph
(b) 49 mph
(c) 48 mph
(d) 50 mph

2. A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming, the distance between his house and school is:
(a) 8.5 km
(b) 5.5 km
(c) 6 km
(d) 9 km

3. The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination. The total time taken for the complete to and for journey is 17 hours, covering a distance of 800 km. The speed of the train in the onward journey is:
(a) 50 km/hr
(b) 53 km/hr
(c) 52 km/hr
(d) 56.25 km/hr

4. A man on tour travels first 160 km at 64 km/hr and the next 160 kin at 80 km/hr. The average speed for the first 320 km of the tour is:
(a) 35.55 km/hr
(b) 38 km/hr
(c) 71.11 km/hr
(d) 75 km/hr

5. A boy rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. His average speed for the entire trip is approximately :
(a) 10.4 km/hr
(b) 10.8 km/hr
(c) 12 km/hr
(d) 14 km/hr

6. A car travels the first one-third of a certain distance with a speed of 10 km/hr, the next one- third distance with a speed of 20 km/hr, and the last one-third distance with a speed. of 60 km/hr. The average speed of the car for the whole journey is:
(a) 18 km/hr
(b) 34 km/hr
(c) 35 km/hr
(d) 39 km/hr

7. A motorist covers a distance of 39 km in 45 minutes by moving at a speed of x kmph for the first 15minutes, thenmoving at double the speed for the next 20 minutes and then again moving at his original speed for the rest of the journey Then, x is equal to:
(a) 31.2
(b) 36
(c) 42
(d) 54

8. Mary jogs 9 km at a speed of 6 km per hour. At what speed would she need to jog during the next 1.5 hours to have an average of 9 km per hour for the entire jogging session?
(a) 9 kmph
(b) 13 kmph
(c) 12 kmph
(d) 15 kmph

9. A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40min 48 sec. Find the actual speed of the car.
(a) 17 km/hr
(b) 32 km/hr
(c) 31 km/hr
(d) 35 km/hr

10. A train running at 7/11 of its own speed reached a place in 22 hours. How much time could be saved if the train would have run at its own speed?
(a) 9 hours
(b) 8 hours
(c) 14 hours
(d) 20 hours

11. A man can reach a certain place in 30 hours. If he reduces his speed by 1/15th, he goes 10 km less in that time. Find his speed.
(a) 7 km/hr
(b) 5 km/hr
(c) 52 km/hr
(d) 8 km/hr

12. Walking 6/7th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is:
(a) 2 hour
(b) 1 hr 12 min.
(c) 1 hr 15 min.
(d) 3 hr 20 min

13. A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.
(a) 50 km
(b) 60 km
(c) 70 km
(d) 90 km

14. Robert is traveling on his cycle and has calculated to reach point A at 2 PM. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
(a) 8 kmph
(b) 13 kmph
(c) 12 kmph
(d) 16 kmph

15. If a train runs at 40 kmph, it reaches its destination late by 11minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is:
(a) 13 min.
(b) 17 min.
(c) 19 min.
(d) 22 min

16. A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph, slower, he would have taken 40 minutes more. The distance (in km) is :
(a) 353
(b) 368
(c) 372
(d) 40

17. What is the time taken by a train running at 18km/h to cross a man standing on a platform, the length of the train being 120 m?
(a) 22 s
(b) 44 s
(c) 12 s
(d) 24 s

18. A man is walking at a speed of 10 km/h. After every kilometer, he takes rest for 5min.Howmuch time will he take to cover a distance of 5 km?
(a) 20 min
(b) 30 min
(c) 40 min
(d) 50 min

19. Walking 5/7 of his usual rate, a boy reaches his school 6 min late. Find his usual time to reach school.
(a) 10 min
(b) 12 min
(c) 15 min
(d) 18 min

20. If I walk at 4 km/h, I miss the bus by 10 min. If I walk at 5 km/h, I reach 5 min before the arrival of the bus. How far I walk to reach the busstand?
(a) 5 km
(b) 5.5 km
(c) 6 km
(d) 7.5 km

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