Speed Distance MCQs set 2 for ISSB - PAF Officer Selection Mathematics — 20 solved questions.
Q1. Train 150 m crosses pole in 15 s. Speed:
Answer: 10 m/s
Explanation: Speed equals 150 divided by 15, which is 10 m/s. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q2. Half distance at 40, half at 60. Average:
Answer: 48
Explanation: Equal distances: average is 2ab/(a+b) = 2*40*60/100 = 48 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q3. A is 50% faster than B. B takes 12 hours. A takes:
Answer: 8
Explanation: If A is 1.5 times as fast, A takes 12/1.5 = 8 hours.
Q4. Two equal trains pass in 10 s at 20 m/s relative. Length of one:
Answer: 100 m
Explanation: Relative distance is two lengths. 20 times 10 equals 200, so one length is 100 m.
Q5. A runs at 10 m/s. Time for 1 km:
Answer: 100 s
Explanation: 1000 meters at 10 m/s takes 100 seconds. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q6. A car travels 180 km in 3 hours. Average speed?
Answer: 60 km/h
Explanation: Speed equals distance divided by time so 180 divided by 3 is 60.
Q7. Train 90 km/h for 2.5 hours covers?
Answer: 225 km
Explanation: Distance equals speed times time so 90 times 2.5 is 225 km.
Q8. A man walks 5 km/h for 3 h then 4 km/h for 2 h. Total distance?
Answer: 23 km
Explanation: First leg 15 km plus second leg 8 km gives total 23 km.
Q9. Boat speed 12 km/h in still water, stream 4 km/h. Downstream speed?
Answer: 16 km/h
Explanation: Downstream speed is boat speed plus stream so 16 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q10. Relative speed of two trains 60 km/h and 40 km/h same direction?
Answer: 20 km/h
Explanation: Relative speed same direction is difference 60 minus 40 equals 20. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q11. A cyclist goes 15 km upstream in 3 h, stream 2 km/h. Speed in still water?
Answer: 7 km/h
Explanation: Upstream speed 5 km/h equals boat minus 2 so still water speed is 7.
Q12. Speed 72 km/h for 2.5 h. Distance?
Answer: 180 km
Explanation: Distance equals 72 times 2.5 which is 180 km. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q13. Train 108 km in 1.5 h. Speed?
Answer: 72 km/h
Explanation: Speed equals 108 divided by 1.5 which is 72 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q14. Upstream speed 8 km/h, stream 2 km/h. Boat speed still water?
Answer: 10 km/h
Explanation: Still water speed equals upstream plus stream so 10 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q15. Relative speed opposite 50 and 30 km/h?
Answer: 80 km/h
Explanation: Opposite directions add speeds so 80 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q16. Car 60 km/h, after 2 h turns back 40 km/h for 1 h. Total distance?
Answer: 160 km
Explanation: First leg 120 km plus return 40 km equals 160 km total path.
Q17. Man runs 400 m in 50 s. Speed m/s?
Answer: 8 m/s
Explanation: Speed equals 400 divided by 50 which is 8 m/s. Work each step carefully; ISSB math rewards accuracy under time pressure.
Q18. Train 72 km/h for 2.5 hours. Distance?
Answer: 180 km
Explanation: Distance equals speed times time so 72 times 2.5 is 180 km.
Q19. Car 90 km/h for 40 minutes. Distance?
Answer: 60 km
Explanation: Forty minutes is 2/3 hour so 90 times 2/3 equals 60 km.
Q20. Two trains 50 km/h and 70 km/h opposite direction. Relative speed?
Answer: 120 km/h
Explanation: Opposite directions add speeds so 50 plus 70 equals 120 km/h. Work each step carefully; ISSB math rewards accuracy under time pressure.