Quantitative Aptitude

Problems on Trains

989 Questions
All Passing a moving person or another train 430 Crossing a platform or bridge 379 Crossing a pole or stationary person 104 Meeting point and post-meeting times 52 Journey time, reduced speed, and schedule conditions 24

Problems on Trains Questions

Multiple choice

A train having length 180m and speed 20m/sec. crosses a man moving on the same side with the speed of 10m/sec. In how many time train crosses the man? 180 मी. लम्बी एक रेलगाड़ी 20 मी./से. की गति से चलती हुई एक व्यक्ति को जो गाड़ी की दिशा में 10 मी./से. की गति से चल रहा है, पार करती है। रेलगाड़ी व्यक्ति को कितने समय में पार करेगी?

  1. 18 sec 18 सेकेण्ड

  2. 27 sec 27 सेकेण्ड

  3. 9 sec 9 सेकेण्ड

  4. 6 sec 6 सेकेण्ड

  5. None of these इसमें से कोई नही
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When the man moves in the same direction as the train, relative speed = train speed - man's speed = 20 - 10 = 10 m/sec. Time = distance / relative speed = 180 / 10 = 18 seconds. Option A is correct. Option B (27 sec) would result from using just the train's speed (180/20), while option C (9 sec) would result from adding the speeds (180/30).

Multiple choice

If a 250 m long train crosses a platform of the same length as that of the train in 25 sec, then the speed of the train is – एक 250 मीटर लंबी ट्रेन समान लम्बाई के प्लेटफॉर्म को 25 सेकंड में पार कर जाती है तो ट्रेन की गति क्या है?

  1. 72 km/h 72 किमी./घं.

  2. 75 km/h 75 किमी./घं.

  3. 78 km/h 78 किमी./घं.

  4. 81 km/h 81 किमी./घं.

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total distance covered = length of train + length of platform = 250 + 250 = 500 m. Time taken = 25 seconds. Speed in m/s = 500/25 = 20 m/s. Convert to km/h: 20 × 18/5 = 72 km/h. The train's speed is 72 km/h.

Multiple choice

A 120 m. long train crosses a pole in 12 seconds and another 100 m. long train running in opposite direction in 10 seconds what is the speed of the second train ? 120 मी. लम्बी एक ट्रेन एक पोल को 12 सेकेण्ड में पार करती है और विपरीत दिशा में गतिमान 100 मी. लम्बी एक अन्य ट्रेन को 10 सेकेण्ड में पार करती है। दूसरी ट्रेन की चाल क्या है?

  1. 43.2 km./hr. 43.2 किमी./घं.

  2. 43 km./hr. 43 किमी./घं.

  3. 43 km./hr. 44 किमी./घं.

  4. 43.5 km./hr. 43ण्5 किमी./घं.

  5. None of these इनमें से कोई नही
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

First train speed = 120/12 = 10 m/s. When trains cross in opposite directions, relative speed = (120+100)/10 = 22 m/s. Speed of second train = 22 - 10 = 12 m/s = 12 × 18/5 = 43.2 km/hr. Option A matches the calculated value exactly. Options B and C show inconsistency (43 km/hr vs 44 km/hr in same option).

Multiple choice

A train crosses a man standing on platform in 30 seconds.If speed of train is 15 m/s, what will be length of train? एक रेलगाड़ी प्लेटफार्म पर खड़े एक व्यक्ति को 30 सेकण्ड में पार करती है। यदि रेलगाड़ी की चाल 15 मी/से हो तो रेलगाड़ी की लम्बाई क्या होगी?

  1. 288 m 288 मी

  2. 380 m 380 मी

  3. 450 m 450 मी

  4. 275 m 275 मी

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When a train crosses a stationary man, the distance covered equals the train's length. Distance = Speed × Time = 15 m/s × 30 s = 450 m. This is the length of the train.

Multiple choice

Two trains of length 100 m and 200 m are moving with speed 30 m/s and 20 m/s respectively.How much time it will take to cross each other when they are going in same direction? दो ट्रेन जिनकी लम्बाई 100 मी, तथा 200 मी है, क्रमशः 30 मी/से और 20 मी/से की चाल से एक ही दिशा में जा रही है। एक दूसरे को पार करने में कितना समय लगेगा?

  1. 20 sec 20 सेकण्ड

  2. 21 sec 21 सेकण्ड

  3. 18 sec 18 सेकण्ड

  4. 30 sec 30 सेकण्ड

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When trains move in the same direction, relative speed = 30 - 20 = 10 m/s. Total distance to cross = sum of lengths = 100 + 200 = 300 m. Time = Distance / Relative Speed = 300 / 10 = 30 seconds.

Multiple choice

If a train running at the speed of 30 m./sec. crosses a 600 metres long platform in 30 seconds. What is the length of the train? एक रेलगाड़ी 30 मी./सें. की चाल से चलकर 600 मीटर लम्बे प्लेटफार्म को 30 सेकेण्ड में पार करती है तो रेलगाड़ी की लम्बाई कितनी है?

  1. 300 m. 300 मी.

  2. 450 m. 450 मी.

  3. 600 m. 600 मी.

  4. 250 m. 250 मी.

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed = 30 m/s, Time = 30 s. Distance covered = Speed × Time = 30 × 30 = 900 m. This distance equals train length + platform length. So train length + 600 = 900, giving train length = 300 m.

Multiple choice

A train crosses a platform in 48 seconds a man standing on the platform in 15 seconds. If speed of the train is 72 km.hr. what is the length of the platform ? एक ट्रेन एक प्लेटफार्म को 48 से. में और प्लेटफार्म पर खड़े एक व्यक्ति को 15 से. में पार करती है। यदि ट्रेन की चाल 72 किमी/घं. है तो प्लेटफार्म की लम्बाई क्या है?

  1. 680 m 680 मी.

  2. 620 m 620 मी.

  3. 670 m 670 मी.

  4. 660 m 660 मी.

  5. None of these इनमें से कोई नही
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Train speed = 72 km/hr = 20 m/s. When crossing a stationary person, time taken equals length of train divided by speed, so train length = 20 × 15 = 300 m. When crossing a platform, distance covered equals train length plus platform length, so total distance = 20 × 48 = 960 m. Platform length = 960 - 300 = 660 m.

Multiple choice

A train passed two persons who are walking in the opposite direction in which the train is moving, at the rate of (5) m/s and (10) m/s in (6) second and (5) seconds respectively. Find the length of the train.

  1. 150

  2. 200

  3. 180

  4. 100
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When train passes a person walking opposite at 5 m/s in 6s: (train speed + 5) × 6 = L. When passing at 10 m/s in 5s: (train speed + 10) × 5 = L. Equating: 6v + 30 = 5v + 50 gives v = 20 m/s. Length = (20 + 5) × 6 = 150 m. Both cases give same length.

Multiple choice

What is the time required by a train of length of 350m to cross an electric pole with a speed of 70 m/s? 350 मीटर की एक ट्रेन 70 मीटर प्रति सेकंड की चाल से एक इलेक्ट्रिक पोल को पार करने में कितना समय लेगी ?

  1. 3 sec 3 सेकंड

  2. 4 sec 4 सेकंड

  3. 5 sec 5 सेकंड

  4. Data inadequate डाटा अपर्याप्त है

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When a train crosses a pole, the distance it needs to cover equals its own length. Time = Distance/Speed = 350m ÷ 70 m/s = 5 seconds. This is a straightforward application of the time-distance-speed formula for objects crossing stationary points.

Multiple choice

A train crosses two bridge 800 m long and 400 m long in 100 sec. and 60 sec. respectively. What is the length of train? एक रेलगाड़ी 800 मी. और 400 मी. लम्बे दो पुलो को क्रमशः 100 से. और 60 से. में पार कर जाती है, रेलगाड़ी की लम्बाई है-

  1. 80 m. 80 मी.

  2. 90 m. 90 मी.

  3. 200 m. 200 मी.

  4. 150 m. 150 मी.

  5. None of these इसमें से कोई नही
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let train length = L meters and speed = v m/s. For 800m bridge: (L+800)/v = 100. For 400m bridge: (L+400)/v = 60. Dividing: (L+800)/(L+400) = 100/60 = 5/3. Cross-multiply: 3(L+800) = 5(L+400) → 3L+2400 = 5L+2000 → 2L = 400 → L = 200m. Option C (200m) is correct.

Multiple choice

A train crosses two persons, cycling in the same direction as the train in 12 and 18 seconds respectively. If the speeds of the two cyclists are 9 and 18 kmph respectively, find the length of the train एक ट्रेन अपनी ही दिशा में साइकिल चला रहे दो व्यक्तियों को क्रमशः 12 और 18 सेकेण्ड में पार करती है | यदि दो साइकिल चालकों की चाल क्रमशः 9 और 18 किमी./घंटा है, ट्रेन की लम्बाई ज्ञात कीजिये |

  1. 80 meters 80 मीटर

  2. 90 meters 90 मीटर

  3. 100 meters 100 मीटर

  4. 110 meters| 110 मीटर

  5. 120 meters 120 मीटर
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let train length = L meters and train speed = V kmph. For first cyclist (9 kmph): Relative speed = (V - 9) kmph. Time = 12 seconds = 12/3600 hours. L = (V - 9) × 12/3600 × 1000 = (V - 9)/3. For second cyclist (18 kmph): Relative speed = (V - 18) kmph. Time = 18 seconds = 18/3600 hours. L = (V - 18) × 18/3600 × 1000 = (V - 18)/2. Equating: (V - 9)/3 = (V - 18)/2. Cross-multiplying: 2(V - 9) = 3(V - 18), giving 2V - 18 = 3V - 54, so V = 36 kmph. Then L = (36 - 18)/2 = 9 km = 90 meters. Verification with first cyclist: L = (36 - 9)/3 = 27/3 = 9 km = 90 meters. Both conditions are satisfied.

Multiple choice

Two trains 190m long and 230m long runs with the speed of 35 km/hr and 55 km/hr in the same side. In how much time faster train crosses the slower train? 190 मी. तथा 230 मीटर लम्बी दो रेलगाड़ियाँ क्रमशः 35 किमी./घण्टा और 55 किमी./घण्टा से एक ही दिशा में चल रही है। तेज गाड़ी धीमी गाड़ी को कितने समय में पार कर लेगी?

  1. 80.3 sec 80.3 सेकंड

  2. 75.6 sec 75.6 सेकंड

  3. 64.6 sec 64.6 सेकंड

  4. 54.5 sec 54.5 सेकंड

  5. None of these इसमें से कोई नही
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When trains move in the same direction, relative speed = difference of speeds = 55 - 35 = 20 km/hr. Converting to m/sec: 20 × 5/18 = 100/18 m/sec. Total distance to cover = sum of lengths = 190 + 230 = 420 m. Time = Distance/Speed = 420 ÷ (100/18) = 420 × 18/100 = 75.6 seconds.

Multiple choice

A train B whose length is three times of another A, is running with 58km/hr crosses train A in 15 seconds. Find the length of train A if speed of train A is 50km/hr, if both trains are running in opposite direction?

  1. 112.5

  2. 150

  3. 210

  4. 124.5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let length of train A = L meters. Then length of train B = 3L meters. Speed of A = 50 km/hr, Speed of B = 58 km/hr. Since they run in opposite directions, relative speed = 50 + 58 = 108 km/hr = 108 × (5/18) = 30 m/s. Time to cross = 15 seconds. Total distance covered = L + 3L = 4L. Distance = Speed × Time, so 4L = 30 × 15 = 450, giving L = 112.5 meters.

Multiple choice

What is the time required by a train of length of 350m to cross an electric pole with a speed of 70 m/s?

  1. 3 sec

  2. 4 sec

  3. 5 sec

  4. Data inadequate

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the time for a train to cross a pole, we use the formula time = distance/speed. The train's length (350m) is the distance it must travel to completely pass the pole. Dividing 350m by 70 m/s gives 5 seconds. Option D 'Data inadequate' would only be correct if we were missing a required value.

Multiple choice

A train reaches on a destination in time with an average speed of 40 Kmph. If it goes with an average speed of 35 Kmph it is late by 15 minutes. Find the length of the total journey. एक ट्रेन 40 कि.मी/घंटा की औसत गति से अपने गंतव्य स्थल तक समय से पहुँच जाती है। यदि यह 35 कि.मी/घंटे की औसत गति से चलती है तो यह 15 मिनट देरी से पहुँचती है। सम्पूर्ण यात्रा की कुल दूरी ज्ञात कीजिये ।

  1. 70 km 70 किमी.

  2. 56 km 56 किमी.

  3. 23 km| 23 किमी.

  4. 78 km 78 किमी.

  5. 85 km 85 किमी.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance be d km. Time difference = 15 min = 0.25 hr. d/35 - d/40 = 0.25. Solving: d(40-35)/(35×40) = 0.25, so d = 0.25×1400 = 70 km. At 40 kmph, time = 70/40 = 1.75 hr. At 35 kmph, time = 70/35 = 2 hr (15 min more).