Q1. A boy goes to school at the speed of 3 km/h and turns with a speed of 2 km/hr. If he takes 5 hours in all, then find out the distance in km between the village and the school.
(a) 6
(b) 7
(c) 8
(d) 4
Q2. Nikita starts her journey from Delhi to Bhopal and simultaneously Nishita starts from Bhopal to Delhi. After crossing each other, they finish their remaining journey in 49/9 hours and 9 hours, respectively. What is Nishita’s speed if Nikita’s speed is 36 km/hr?
(a) 22 km/h
(b) 24 km/h
(c) 32 km/h
(d) 28 km/h
Q3. A car, during its journey, travels 40 minutes at a speed of 30 km/h, another 50 minutes at a speed of 60 km/h and 1 hour at a speed of 30 km/h. Find out the average speed of the car.
(a) 44 km/h
(b) 40 km/h
(c) 43 km/h
(d) 36 km/h
Q4. By walking at 4/5 of his usual speed, Mohan is 6 minutes late to his office. Find out his usual time to cover the distance.
(a) 21 minutes
(b) 24 minutes
(c) 28 minutes
(d) 25 minutes
Q5. Two bicyclists travel the same journey with speed 9 km/h and 10 km/h. Find out the length of the journey when one takes 32 minutes longer than the other.
(a) 45 km
(b) 52 km
(c) 38 km
(d) 48 km
Q6. Without stoppages, a train travels certain distance with an average speed of 80 km/h and with stoppages, it covers the same distance with an average speed of 60 km/h. How many minutes per hour the train stops?
(a) 15min.
(b) 18min.
(c) 17min.
(d) 28min.
Q7. A bicycle rider covers his onward journey from A to B at 10 km/hr and during the return journey from B to A he covers the same distance at 8 km/h. If he finishes the onward and return journey in 9/2 hours, then the total distance covered by him during the entire journey is:
(a) 30 km
(b) 40 km
(c) 50 km
(d) None of these
Q8. A car during its journey travels 30 minutes at a speed of 40 km/h, another 45 minutes at a speed of 60 km/h, and 2 hours at a speed of 70 km/h. The average speed (approximately) of the car is:
(a) 63 km/h
(b) 65 km/h
(c) 70 km/h
(d) None of these
Q9. By walking at 3/4 of his usual speed, a man reaches office 20 minutes later than usual. His usual time is:
(a) 65 minutes
(b) 60 minutes
(c) 70 minutes
(d) None of these
Q10. Two men start together to walk a certain distance, one at 4 km/h and another at 3 km/h. The former arrives half an hour before the latter. Find out the distance.
(a) 6 km
(b) 9 km
(c) 8 km
(d) None of these
Q11. A car starts from A for B travelling 20 km an hour. 3/2 hours later another car starts from A and travelling at the rate of 30 km an hour reaches B 5/2 hours before the first car. Find the distance from A to B.
(a) 280 km
(b) 260 km
(c) 240 km
(d) None of these
Q12. A train does a non-stop journey for 8 hours. If it had travelled 5 km an hour faster, it would have done the journey in 6 hours 40 min. What is its lowest speed?
(a) 35 km/h
(b) 25 km/h
(c) 40 km/h
(d) None of these
Q13. Two men A and B walk from P to Q at a distance of 21 km at rates 3 and 4 km an hour, respectively. B reaches Q and returns immediately and meets A at R. The distance from P to R is:
(a) 14 km
(b) 20 km
(c) 16 km
(d) 18 km
Q14. Two boys jointly begin to write a booklet containing 817 lines. The first boy starts with the first line, he writers 200 lines an hour. Who starts with the last line, then writes line 816 and so on, backwards proceeding at the rate of 150 lines an hour. They will meet on:
(a) 467th line
(b) 466th line
(c) 460th line
(d) 472th line
Q15. A motor cyclist travels from Mumbai to Pune, a distance of 192 kms, at an average speed of 32 km/h. Another man starts from Mumbai by travelling in a car, 5/2 hours after the cyclist and reaches Pune half an hour earlier. What is the ratio of the speeds of the motor cycle and the car?
(a) 1: 2
(b) 1: 3
(c) 10: 27
(d) 5: 4
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