Practice Speed Distance MCQs for ISSB - Pak Army Officer Selection Mathematics — topic-wise sets with solved answers.
Q1. A train 150 m long passes a pole in 15 seconds. Its speed in km/h is:
Answer: 36
Explanation: Speed = 150 m / 15 s = 10 m/s. Convert: 10 × (18/5) = 36 km/h. Remember m/s to km/h: multiply by 18/5.
Q2. Boat: 60 km downstream in 3 h, upstream in 5 h. Speed in still water?
Answer: 16 km/h
Explanation: Downstream 20 km/h, upstream 12 km/h. Still water = (20+12)/2 = 16 km/h.
Q3. 40 km route: first 20 km at 10 km/h, next 20 km at 20 km/h. Average speed?
Answer: 13.3 km/h
Explanation: Total time 3 h for 40 km → 40/3 ≈ 13.3 km/h. Not the arithmetic mean of speeds.
Q4. A train 150 m long crosses a pole in 15 s. Speed in km/h?
Answer: 36
Explanation: Speed = 150/15 = 10 m/s = 10×3.6 = 36 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q5. A car travels 240 km in 4 hours. Time for 360 km at same speed?
Answer: 6 h
Explanation: Speed = 60 km/h. Time = distance/speed = 360/60 = 6 hours.
Q6. A train 100 m long passes a pole in 10 s. Length of train in metres?
Answer: 100
Explanation: Time to pass a pole equals time to cover own length. Distance = speed x time gives 100 m.
Q7. A military bus covers 180 km in 3 hours. How long will it take to cover 300 km at the same speed?
Answer: 5 hours
Explanation: Speed is 180 divided by 3, which is 60 km/h. Time for 300 km is 300 divided by 60, which is 5 hours.
Q8. A runner covers 1.5 km in 6 minutes. What is his speed in km/h?
Answer: 15 km/h
Explanation: Six minutes is 0.1 hour. Speed is 1.5 divided by 0.1, which equals 15 km/h.
Q9. A train 150 m long passes a pole in 10 seconds. What is its speed in km/h?
Answer: 54 km/h
Explanation: Speed is 150 divided by 10, which is 15 m/s. Multiply by 18/5 to convert to km/h: 15 times 18/5 equals 54.
Q10. A train covers 180 km in 3 hours. What is its average speed?
Answer: 60 km/h
Explanation: Average speed equals distance divided by time. 180 divided by 3 equals 60 km/h.
Q11. A car travels 90 km at 45 km/h and returns at 30 km/h. What is average speed for the whole trip?
Answer: 36 km/h
Explanation: Time going is 2 hours and return is 3 hours. Total distance 180 km in 5 hours gives 36 km/h.
Q12. A car travels 240 km in 4 hours. Average speed is:
Answer: 60 km/h
Explanation: Speed equals distance divided by time. 240 divided by 4 equals 60 km/h.
Q13. A train 120 m long crosses a pole in 12 seconds. Speed is:
Answer: 10 m/s
Explanation: Speed equals length divided by time. 120 divided by 12 equals 10 m/s.
Q14. A man walks 3 km/h for 2 hours and 5 km/h for 2 hours. Average speed is:
Answer: 4 km/h
Explanation: Total distance is 6 plus 10 equals 16 km in 4 hours. Average is 4 km/h.
Q15. Distance 150 km, time 3 hours. Speed is:
Answer: 50 km/h
Explanation: Speed equals distance divided by time. 150 divided by 3 equals 50 km/h.
Q16. Train 100 m long crosses pole in 10 s. Speed:
Answer: 10 m/s
Explanation: Speed equals 100 divided by 10, which is 10 meters per second.
Q17. Walks 4 km/h for 3 h and 6 km/h for 2 h. Average speed:
Answer: 4.8 km/h
Explanation: Distance is 12 plus 12 equals 24 km in 5 hours. Average is 4.8 km/h.
Q18. Two trains 100 m and 80 m pass in 9 s opposite. Relative speed:
Answer: 20 m/s
Explanation: Relative distance is 180 m in 9 s. Speed is 20 meters per second.
Q19. A covers half distance at 20 km/h and half at 30 km/h. Average speed is:
Answer: 24 km/h
Explanation: For equal distances, average is 2ab/(a+b). That is 2 times 20 times 30 over 50, which is 24.
Q20. Covers 90 km in 2 hours. Speed:
Answer: 45 km/h
Explanation: Speed equals distance over time. 90 divided by 2 equals 45 km/h.
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