The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
A) 200 m
B) 225 m
C) 245 m
D) 250 m
✏️ Solution
Step 1: Convert speed: 45 × 5/18 = 12.5 m/sec
Step 2: Total distance = Speed × Time = 12.5 × 30 = 375 m
Step 3: Bridge length = Total Distance - Train Length
375 - 130 = 245 m
✅ Correct Answer: C) 245 m
4️⃣ Question
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A) 1 : 3
B) 3 : 2
C) 3 : 4
D) None of these
✏️ Solution (Memory Trick)
Use Rule of Alligation:
Speed 1 time: 27 | Speed 2 time: 17
Mean time: 23
Ratio = |23-17| : |27-23|
Ratio = 6 : 4 = 3 : 2
✅ Correct Answer: B) 3 : 2
5️⃣ Question
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?
A) 120 m
B) 240 m
C) 300 m
D) None of these
✏️ Solution
Step 1: Convert speed: 54 × 5/18 = 15 m/sec
Step 2: Train length = Speed × Time (Man) = 15 × 20 = 300 m
Step 3: Total distance (Train + Platform) = 15 × 36 = 540 m
Step 4: Platform length = 540 - 300 = 240 m
✅ Correct Answer: B) 240 m
6️⃣ Question
A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
A) 65 sec
B) 89 sec
C) 100 sec
D) 150 sec
✏️ Solution
Step 1: Find speed of train = 240/24 = 10 m/sec
Step 2: Total Distance = Train + Platform = 240 + 650 = 890 m
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Two trains are moving in opposite directions at 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 is:
A) 36 sec
B) 45 sec
C) 48 sec
D) 49 sec
✏️ Solution
Step 1: Total Distance = 1.10 + 0.9 = 2.0 km = 2000 m
A jogger running at 9 km/hr is 240 metres ahead of the engine of a 120 metres long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Step 2: Total Distance = Distance ahead + Train Length = 240 + 120 = 360 m
Step 3: Time = 360 / 10 = 36 sec
✅ Correct Answer: C) 36 sec
1️⃣1️⃣ Question
A 270 metres long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
Step 2: Total Distance = Speed × Time = (500/9) × 9 = 500 m
Step 3: Length of other train = 500 - 270 = 230 m
✅ Correct Answer: A) 230 m
1️⃣2️⃣ Question
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
A) 230 m
B) 240 m
C) 260 m
D) 270 m
✏️ Solution
Step 1: Convert speed: 72 × 5/18 = 20 m/sec
Step 2: Total Distance = 20 × 26 = 520 m
Step 3: Train length = 520 - 250 = 270 m
✅ Correct Answer: D) 270 m
1️⃣3️⃣ Question
Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast as the other, then the speed of the faster train is:
Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is:
A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A train travelling at a speed of 75 mph enters a tunnel 3½ miles long. The train is ¼ mile long. How long does it take for the train to pass through the tunnel?
Step 2: Distance covered in 39 sec = (50/3) × 39 = 650 m
Step 3: Platform length = 650 - 300 = 350 m
✅ Correct Answer: B) 350 m
1️⃣9️⃣ Question
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A) 50 m
B) 150 m
C) 200 m
D) Data inadequate
✏️ Solution
Let Train Length = L
Speed = L/15 = (L+100)/25
25L = 15(L+100) → 25L = 15L + 1500
10L = 1500 → L = 150 m
✅ Correct Answer: B) 150 m
2️⃣0️⃣ Question
A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
A) 69.5 km/hr
B) 70 km/hr
C) 79 km/hr
D) 79.2 km/hr
✏️ Solution
Let Length = L. Speed = L/8 = (L+264)/20
20L = 8L + (8 × 264) → 12L = 2112 → L = 176 m
Speed = 176 / 8 = 22 m/sec
Convert: 22 × 18/5 = 79.2 km/hr
✅ Correct Answer: D) 79.2 km/hr
2️⃣1️⃣ Question
How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A) 12 sec
B) 24 sec
C) 48 sec
D) 60 sec
✏️ Solution
Note: Passing driver means distance = length of slower train only (500m).
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
A) 10
B) 18
C) 36
D) 72
✏️ Solution
Step 1: Total Distance = 120 + 120 = 240 m
Step 2: Relative Speed = 240 / 12 = 20 m/sec
Step 3: Since speeds are same, Speed of one = 20 / 2 = 10 m/sec
Step 4: Convert: 10 × 18/5 = 36 km/hr
✅ Correct Answer: C) 36 km/hr
2️⃣4️⃣ Question
Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train is 120 metres, in what time (in seconds) will they cross each other travelling in opposite directions?
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. The fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
A) 23 m
B) 23 2⁄9 m
C) 27 7⁄9 m
D) 29 m
✏️ Solution
Relative Speed = 40 - 20 = 20 km/hr.
Convert: 20 × 5/18 = 50/9 m/sec.
Distance (Length of fast train) = (50/9) × 5 = 250/9 = 27 7⁄9 m.
✅ Correct Answer: C) 27 7⁄9 m
2️⃣7️⃣ Question
A train overtakes two persons who are walking in the same direction at the rate of 2 km/hr and 4 km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train is:
A) 45 m
B) 50 m
C) 54 m
D) 72 m
✏️ Solution
Distance is same. 9(v-2) = 10(v-4). (Where v is train speed)
A train overtakes two persons walking at 4.5 km/hr and 5.4 km/hr in the same direction. The train takes 8.4 sec and 8.5 sec respectively to overtake them. What is the speed of the train?
A) 66 km/hr
B) 72 km/hr
C) 78 km/hr
D) 81 km/hr
✏️ Solution
8.4(v - 4.5) = 8.5(v - 5.4)
8.4v - 37.8 = 8.5v - 45.9
0.1v = 8.1 → v = 81 km/hr.
✅ Correct Answer: D) 81 km/hr
2️⃣9️⃣ Question
A train travelling at 48 km/hr completely crosses another train having half its length and travelling in opposite direction at 42 km/hr in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is:
A) 400 m
B) 450 m
C) 560 m
D) 600 m
✏️ Solution
Rel Speed = 48 + 42 = 90 km/hr = 25 m/sec.
Total Len = 25 × 12 = 300m. Since L + L/2 = 300, 1.5L = 300 → L = 200m.
Train Speed = 48 km/hr = 40/3 m/sec.
Dist in 45s = (40/3) × 45 = 600m.
Platform = 600 - 200 = 400 m.
✅ Correct Answer: A) 400 m
3️⃣0️⃣ Question
Two stations A and B are 110 km apart. One train starts from A at 7 a.m. towards B at 20 km/hr. Another train starts from B at 8 a.m. towards A at 25 km/hr. At what time will they meet?
A) 9 a.m.
B) 10 a.m.
C) 10.30 a.m.
D) 11 a.m.
✏️ Solution
Step 1: 7am to 8am Train A covers 20km. Remaining dist = 110 - 20 = 90km.
Step 2: Rel Speed = 20 + 25 = 45 km/hr.
Step 3: Time = 90 / 45 = 2 hours.
Meeting time = 8 a.m. + 2 hours = 10 a.m.
✅ Correct Answer: B) 10 a.m.
3️⃣1️⃣ Question
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
