Practice Mode•Instant Explanations & 50:50 Enabled
Speed Distance Trains MCQs
High-yield multiple choice questions asked in previous years (UPSC, SSC CGL, JKSSB, RRB & State PSCs).
High-Yield Concept Capsule & Key Facts
📌 Crucial arithmetic section in SSC CGL, RRB NTPC, RRB ALP, IBPS PO/Clerk, SBI PO, and State PSCs.
Fundamental Conversion & Basic Kinematic Relations
- • Basic Formula: Speed = Distance / Time (Time = D / S, Distance = S × T).
- • Unit Conversion: To convert km/h to m/s, multiply by 5/18 (since 1000m / 3600s = 5/18).
- • Unit Conversion: To convert m/s to km/h, multiply by 18/5.
- • Average Speed: When distances are equal: Avg Speed = 2xy / (x + y). When times are equal: Avg Speed = (x + y) / 2.
Relative Speed Principles for Trains & Moving Bodies
- • Opposite Direction: Relative Speed = S1 + S2 (Speeds add up as separation narrows faster).
- • Same Direction: Relative Speed = |S1 - S2| (Speeds subtract as faster body overtakes slower body).
- • Crossing a Point Object (Pole, Standing Person, Tree): Distance covered = Length of Train (L1).
- • Crossing a Linear Platform/Bridge/Tunnel: Distance covered = Length of Train (L1) + Length of Platform (L2).
- • Two Trains Crossing Each Other: Distance covered = L1 + L2 in both same and opposite directions.
| Scenario | Distance Traversed | Effective Speed | Time Formula |
|---|---|---|---|
| Train crosses Pole/Man | L_train | S_train | T = L_train / S_train |
| Train crosses Platform/Bridge | L_train + L_platform | S_train | T = (L_t + L_p) / S_t |
| Two Trains (Opposite Dir) | L1 + L2 | S1 + S2 | T = (L1 + L2) / (S1 + S2) |
| Two Trains (Same Dir - Overtake) | L1 + L2 | S1 - S2 | T = (L1 + L2) / (S1 - S2) |
| Train crosses Man moving in same dir | L_train | S_train - S_man | T = L_train / (S_t - S_m) |
| Equal distance round trip | 2D | Harmonic Mean | Avg Speed = 2xy / (x + y) |
Showing 15 Practice Questions
Q1High-Yield Practice SetMedium
A train running at the speed of 60 km/hr crosses a telephone pole in 9 seconds. What is the length of the train?
Q2High-Yield Practice SetMedium
A train 240 m in length crosses a platform twice its length in 36 seconds. What is the speed of the train in km/hr?
Q3High-Yield Practice SetMedium
A person covers a certain distance by car at a speed of 40 km/hr and returns to the starting point at a speed of 60 km/hr. What is his average speed for the entire journey?
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Q4High-Yield Practice SetMedium
Two trains 140 m and 160 m long are running towards each other on parallel tracks at 60 km/hr and 48 km/hr respectively. In how many seconds will they clear each other from the moment they meet?
Q5High-Yield Practice SetMedium
Two trains of lengths 200 m and 150 m are running on parallel tracks in the same direction at 45 km/hr and 36 km/hr. How long will the faster train take to pass the slower train?
Q6High-Yield Practice SetMedium
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?
Q7High-Yield Practice SetMedium
If a man walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him at 10 km/hr is:
Q8High-Yield Practice SetMedium
Walking at 3/4th of his normal speed, a student reaches his school 20 minutes late. What is his usual time to reach the school?
Q9High-Yield Practice SetMedium
Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour?
Q10High-Yield Practice SetMedium
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Q11High-Yield Practice SetMedium
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 km/hr. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 km/hr. At what time will they meet?
Q12High-Yield Practice SetMedium
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
Q13High-Yield Practice SetMedium
A train running at 72 km/hr takes 20 seconds to completely pass another train running at 54 km/hr in the opposite direction. If the length of the first train is 220 m, find the length of the second train.
Q14High-Yield Practice SetMedium
A man sets out on a cycle from point A to point B. He covers 1/3rd of the journey at 10 km/hr, 1/3rd at 15 km/hr, and the remaining 1/3rd at 30 km/hr. Find his average speed for the whole journey.
Q15High-Yield Practice SetMedium
Two trains start at the same time from Aligarh and Delhi and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has traveled 60 km more than the other. The distance between two stations is:
Frequently Asked Questions (Speed Distance Trains)
Q: Why do we multiply by 5/18 to convert km/hr into m/sec?
1 kilometer equals 1000 meters and 1 hour equals 3600 seconds. Dividing 1000 by 3600 gives 10/36 which simplifies directly to 5/18. Therefore, Speed in m/s = Speed in km/h × (5/18).
Q: What distance does a train travel when overtaking another moving train?
Regardless of whether two trains move in the opposite direction or the same direction, the total distance required for a complete crossing or overtaking is always the sum of their individual lengths (Length of Train 1 + Length of Train 2).
Q: What is the formula for average speed when travel times are unequal?
When time periods or distances are unequal, you must use the universal foundational formula: Average Speed = Total Distance Covered / Total Time Taken.
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