Train, Boat & Stream + Relative Speed
Beginner to Advanced | SSC, UPSC, PCS Preparation
1. Train Concept
Speed = Distance / Time
Train problems involve crossing poles, platforms, and other trains.
Example:
Train crosses a pole in 10 sec at 36 km/h. Find length?
Speed = 10 m/s → Length = 10 × 10 = 100 m
Practice Questions
Q1. A train crosses a pole in 8 sec. Speed 54 km/h. Length?
a)100 b)120 c)140 d)150
a)100 b)120 c)140 d)150
Ans: b)120
Q2. Train crosses platform in 20 sec. Speed 72 km/h. Platform 200m. Length?
a)200 b)300 c)400 d)500
a)200 b)300 c)400 d)500
Ans: c)400
2. Boat & Stream
Downstream = Boat + Stream
Upstream = Boat - Stream
Example:
Boat speed = 10 km/h, stream = 2 km/h. Downstream?
12 km/h
Practice Questions
Q1. Boat speed 15 km/h, stream 5 km/h. Upstream?
a)5 b)10 c)15 d)20
a)5 b)10 c)15 d)20
Ans: b)10
3. Relative Speed
Same direction: Difference
Opposite direction: Sum
Example:
Two trains 60 & 40 km/h opposite direction. Relative speed?
100 km/h
Practice Questions
Q1. Speeds 50 & 30 same direction. Relative speed?
a)10 b)20 c)30 d)40
a)10 b)20 c)30 d)40
Ans: b)20
Complete Maths: Train, Boat & Stream + Relative Speed
Full Practice (150+ Questions) | SSC UPSC PCS
TRAIN (50 Questions)
Speed = Distance / Time
Concept:
Train questions include pole, platform, and trains crossing each other.
Questions:
Q1. 36 km/h, 10 sec → Length?
a)80 b)90 c)100 d)110
a)80 b)90 c)100 d)110
Ans: c)100
Q2. 54 km/h, 8 sec → ?
a)100 b)120 c)140 d)160
a)100 b)120 c)140 d)160
Ans: b)120
Q3. 72 km/h, 5 sec → ?
a)80 b)100 c)120 d)140
a)80 b)100 c)120 d)140
Ans: b)100
Q4. 90 km/h, 4 sec → ?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q5. 108 km/h, 6 sec → ?
a)150 b)160 c)170 d)180
a)150 b)160 c)170 d)180
Ans: d)180
Q6. Train crosses pole in 12 sec at 36 km/h. Length?
a)100 b)120 c)140 d)160
a)100 b)120 c)140 d)160
Ans: b)120
Q7. Train crosses pole in 15 sec at 72 km/h. Length?
a)200 b)250 c)300 d)350
a)200 b)250 c)300 d)350
Ans: c)300
Q8. Train crosses 200m platform in 20 sec at 72 km/h. Length?
a)200 b)300 c)400 d)500
a)200 b)300 c)400 d)500
Ans: c)400
Q9. Two trains 60 & 40 opposite. Relative speed?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q10. Two trains 70 & 30 same. Relative speed?
a)20 b)30 c)40 d)50
a)20 b)30 c)40 d)50
Ans: c)40
Q11–Q50 similar mixed practice of pole, platform & trains
All answers follow same formulas explained above
BOAT & STREAM (50 Questions)
Downstream = B + S | Upstream = B - S
Q1. Boat 10, Stream 2 → Downstream?
a)10 b)11 c)12 d)13
a)10 b)11 c)12 d)13
Ans: c)12
Q2. Boat 15, Stream 5 → Upstream?
a)5 b)10 c)15 d)20
a)5 b)10 c)15 d)20
Ans: b)10
Q3. Upstream 8, Downstream 12 → Boat?
a)8 b)9 c)10 d)11
a)8 b)9 c)10 d)11
Ans: c)10
Q4. Upstream 8, Downstream 12 → Stream?
a)1 b)2 c)3 d)4
a)1 b)2 c)3 d)4
Ans: b)2
Q5–Q50 Similar mixed practice questions
Use formulas correctly
RELATIVE SPEED (50 Questions)
Opposite: Add | Same: Subtract
Q1. 60 & 40 opposite → ?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q2. 50 & 30 same → ?
a)10 b)20 c)30 d)40
a)10 b)20 c)30 d)40
Ans: b)20
Q3. 70 & 50 opposite → ?
a)100 b)110 c)120 d)130
a)100 b)110 c)120 d)130
Ans: c)120
Q4. 80 & 20 same → ?
a)40 b)50 c)60 d)70
a)40 b)50 c)60 d)70
Ans: c)60
Q5–Q50 Mixed practice
Apply same rules
Complete Maths: Train, Boat & Stream + Relative Speed
Full Practice (150+ Questions) | SSC UPSC PCS
TRAIN (50 Questions)
Speed = Distance / Time
Concept:
Train questions include pole, platform, and trains crossing each other.
Questions:
Q1. 36 km/h, 10 sec → Length?
a)80 b)90 c)100 d)110
a)80 b)90 c)100 d)110
Ans: c)100
Q2. 54 km/h, 8 sec → ?
a)100 b)120 c)140 d)160
a)100 b)120 c)140 d)160
Ans: b)120
Q3. 72 km/h, 5 sec → ?
a)80 b)100 c)120 d)140
a)80 b)100 c)120 d)140
Ans: b)100
Q4. 90 km/h, 4 sec → ?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q5. 108 km/h, 6 sec → ?
a)150 b)160 c)170 d)180
a)150 b)160 c)170 d)180
Ans: d)180
Q6. Train crosses pole in 12 sec at 36 km/h. Length?
a)100 b)120 c)140 d)160
a)100 b)120 c)140 d)160
Ans: b)120
Q7. Train crosses pole in 15 sec at 72 km/h. Length?
a)200 b)250 c)300 d)350
a)200 b)250 c)300 d)350
Ans: c)300
Q8. Train crosses 200m platform in 20 sec at 72 km/h. Length?
a)200 b)300 c)400 d)500
a)200 b)300 c)400 d)500
Ans: c)400
Q9. Two trains 60 & 40 opposite. Relative speed?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q10. Two trains 70 & 30 same. Relative speed?
a)20 b)30 c)40 d)50
a)20 b)30 c)40 d)50
Ans: c)40
Q11–Q50 similar mixed practice of pole, platform & trains
All answers follow same formulas explained above
BOAT & STREAM (50 Questions)
Downstream = B + S | Upstream = B - S
Q1. Boat 10, Stream 2 → Downstream?
a)10 b)11 c)12 d)13
a)10 b)11 c)12 d)13
Ans: c)12
Q2. Boat 15, Stream 5 → Upstream?
a)5 b)10 c)15 d)20
a)5 b)10 c)15 d)20
Ans: b)10
Q3. Upstream 8, Downstream 12 → Boat?
a)8 b)9 c)10 d)11
a)8 b)9 c)10 d)11
Ans: c)10
Q4. Upstream 8, Downstream 12 → Stream?
a)1 b)2 c)3 d)4
a)1 b)2 c)3 d)4
Ans: b)2
Q5–Q50 Similar mixed practice questions
Use formulas correctly
RELATIVE SPEED (50 Questions)
Opposite: Add | Same: Subtract
Q1. 60 & 40 opposite → ?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q2. 50 & 30 same → ?
a)10 b)20 c)30 d)40
a)10 b)20 c)30 d)40
Ans: b)20
Q3. 70 & 50 opposite → ?
a)100 b)110 c)120 d)130
a)100 b)110 c)120 d)130
Ans: c)120
Q4. 80 & 20 same → ?
a)40 b)50 c)60 d)70
a)40 b)50 c)60 d)70
Ans: c)60
Q5–Q50 Mixed practice
Apply same rules
Complete Maths: Train, Boat & Stream + Relative Speed
Full Practice (150+ Questions) | SSC UPSC PCS
TRAIN (50 Questions)
Speed = Distance / Time
Concept:
Train questions include pole, platform, and trains crossing each other.
Questions:
Q1. 36 km/h, 10 sec → Length?
a)80 b)90 c)100 d)110
a)80 b)90 c)100 d)110
Ans: c)100
Q2. 54 km/h, 8 sec → ?
a)100 b)120 c)140 d)160
a)100 b)120 c)140 d)160
Ans: b)120
Q3. 72 km/h, 5 sec → ?
a)80 b)100 c)120 d)140
a)80 b)100 c)120 d)140
Ans: b)100
Q4. 90 km/h, 4 sec → ?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q5. 108 km/h, 6 sec → ?
a)150 b)160 c)170 d)180
a)150 b)160 c)170 d)180
Ans: d)180
Q6. Train crosses pole in 12 sec at 36 km/h. Length?
a)100 b)120 c)140 d)160
a)100 b)120 c)140 d)160
Ans: b)120
Q7. Train crosses pole in 15 sec at 72 km/h. Length?
a)200 b)250 c)300 d)350
a)200 b)250 c)300 d)350
Ans: c)300
Q8. Train crosses 200m platform in 20 sec at 72 km/h. Length?
a)200 b)300 c)400 d)500
a)200 b)300 c)400 d)500
Ans: c)400
Q9. Two trains 60 & 40 opposite. Relative speed?
a)80 b)90 c)100 d)120
a)80 b)90 c)100 d)120
Ans: c)100
Q10. Two trains 70 & 30 same. Relative speed?
a)20 b)30 c)40 d)50
a)20 b)30 c)40 d)50
Ans: c)40
Q11. 36 km/h, 20 sec → Length?
a)150 b)180 c)200 d)220
a)150 b)180 c)200 d)220
Ans: c)200
Q12. 72 km/h, 10 sec → Length?
a)150 b)200 c)250 d)300
a)150 b)200 c)250 d)300
Ans: b)200
Q13. Train crosses 150m platform in 15 sec at 54 km/h. Length?
a)50 b)75 c)100 d)125
a)50 b)75 c)100 d)125
Ans: c)100
Q14. Two trains 80 & 20 opposite → Relative speed?
a)80 b)90 c)100 d)110
a)80 b)90 c)100 d)110
Ans: c)100
Q15. Two trains 90 & 60 same → Relative speed?
a)20 b)25 c)30 d)35
a)20 b)25 c)30 d)35
Ans: c)30
Q16–Q50 Practice similar pattern: mix of pole, platform, and crossing trains with increasing difficulty
Use Speed = Distance/Time and relative speed formulas
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