Practice Time, Distance & Speed MCQs for AJKPSC Junior Clerk (BS-9) Mathematics — topic-wise sets with solved answers.
Q1. According to a timetable, a coach was due to leave a station at 22:55 and arrive at its destination at 06:05 the next day. How long was the journey?
Answer: 7 hours 10 minutes
Explanation: The correct value is 7 hours 10 minutes. Apply the formula or arithmetic step shown in the question and
Q2. The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Answer: 70 kmph and 10 kmph
Explanation: Still-water speed = (80+60)/2 = 70 km/h; stream speed = (80−60)/2 = 10 km/h.
Q3. A boat running downstream covers 24 km's in 4 hours while for covering the same distance upstream it takes 6 hours whats the speed of the boat in still water?
Answer: 5 km/hr
Explanation: The correct value is 5 km/hr. Apply the formula or arithmetic step shown in the question and
Q4. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform:
Answer: 240
Explanation: Train speed = 54 km/h = 15 m/s; train length = 20 × 15 = 300 m; (platform + train) = 36 × 15 = 540 m → platform = 240 m.
Q5. Two trains are moving in opposite directions 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is_________?
Answer: 48
Explanation: Relative speed = 150 km/h = 125/3 m/s; total length = 2000 m; time = 2000 ÷ (125/3) = 48 seconds.
Q6. A man can row 12 km downstream in 3 hours and the same distance upstream in 4 hours. What is the speed of the current?
Answer: 0.5 km/h
Explanation: Downstream speed = 12/3 = 4 km/h; upstream = 12/4 = 3 km/h; current speed = (4−3)/2 = 0.5 km/h.
Q7. Two trains travelling in the same direction at 40 and 22 km/hr completely pass each other in 1 minute. If the length of the first train is 125 meters, what is the length of second train?
Answer: 175
Explanation: Relative speed = 18 km/h = 5 m/s; in 60 s total distance = 300 m; second train length = 300 − 125 = 175 m.
Q8. A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
Answer: 35 km/hr
Explanation: Time = 1 hr 40 min 48 sec = 1.68 hr; actual speed = (42/1.68) × (7/5) = 25 × 1.4 = 35 km/h.
Q9. A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
Answer: 66 km/hr
Explanation: Let car speed = v km/hr; equating car length: (v−6)×9/3600 km = (v−12)×10/3600 km; solving 9v−54 = 10v−120 gives v = 66 km/hr.
Q10. A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km. Time, Speed, and Distance
Answer: 224 km
Explanation: Let each half = d km; d/21 + d/24 = 10 → d×(8+7)/168 = 10 → d = 112; total distance = 224 km.
Q11. A car travels 50% faster than a bike. Both start at the same time from A to B. The car reaches 25 minutes earlier than the bike. If the distance from A to B is 100 km, find the speed of the bike. Time, Speed, and Distance
Answer: 80 km
Explanation: Car speed = 1.5× bike speed; time difference = 100/v − 100/1.5v = 25/60 hr; solving gives v = 80 km/hr.
Q12. Stations P and Q are situated 200km apart. Two trains start form stations P and Q simultaneously. The train starting from station P goes toward station Q at 100km per hour. The train starting from station Q goes towards station P at 150km per hour. At what
Answer: 80km
Explanation: Combined speed = 250 km/hr; meeting time = 200/250 = 4/5 hr; train from P travels 100×4/5 = 80 km from P.
Q13. A man goes to his office 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, what is the distance between his house and office?
Answer: 6 km
Explanation: Using total time = d/3 + d/2 = 5 hours gives 5d/6 = 5, so d = 6 km.
Q14. A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
Answer: 3
Explanation: Swimming against the current, the effective speed is 4 − 2 = 2 km/h. Time = Distance ÷ Speed = 6 ÷ 2 = 3 hours.
Q15. A man travels a distance of 2 km by walking at a speed of 6 km/hr. He returns back at a speed of 4 km/hr. What is his average speed?
Answer: 4.8 kmph
Explanation: For a round trip, average speed = 2ab/(a+b) = (2×6×4)/(6+4) = 48/10 = 4.8 km/h.
Q16. A train traveling at 36km/h completely passes another train half its length in 12 seconds traveling in opposite direction at 54 km/h. If it also passes a platform in 1.5 min, what is the length of platform?
Answer: 700 m
Explanation: Combined speed = 36 + 54 = 90 km/h = 25 m/s; train A length = 25 × 12 − (train B length = half of A) gives train A = 200 m; passing platform in 90 s at 10 m/s: platform = 90×10 − 200 = 700 m.
Q17. In a race, a car travelled at a speed of 150 kmph. If it had travelled at 180 kmph, it would have completed the race before 3 minutes. Find the length of the track. Time, Speed, and Distance
Answer: 45 km
Explanation: Using distance = speed × time, the difference in time is D/150 − D/180 = 1/20 hour (3 minutes). Solving gives D = 45 km.
Q18. Saim can row 9 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of flow of the stream?
Answer: 3 km/h
Explanation: If downstream time is t, upstream time is 2t for the same distance; still-water speed = 9 km/h, so (9−c)/(9+c) = 1/2, giving current speed c = 3 km/h.
Q19. A train passes a telegraph post and a bridge 264 m long in 8 sec. and 20 sec. respectively . What is the speed of the train?
Answer: 79.2km/h
Explanation: Let train length = L; from L/8 = (L+264)/20, solving gives L = 176 m, speed = 176/8 = 22 m/s = 79.2 km/h.
Q20. A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Answer: 8 kmph
Explanation: Downstream speed = 85 ÷ 2.5 = 34 km/h; upstream = 45 ÷ 2.5 = 18 km/h; stream speed = (34 − 18) ÷ 2 = 8 km/h.
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