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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 314 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 110 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  3. 3.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 90 m and 135 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  9. 9.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 34 km upstream and come back?
  10. 10.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.Two trains, 210 m and 150 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  12. 12.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  13. 13.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 100 m and 75 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  15. 15.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  16. 16.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  17. 17.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  24. 24.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 100 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  27. 27.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  28. 28.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 108 km upstream and come back?
  31. 31.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  33. 33.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  35. 35.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  36. 36.Two trains, 120 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?

Answer key

  1. 12
  2. 12
  3. 16
  4. 1
  5. 4
  6. 9
  7. 120
  8. 7
  9. 18
  10. 320
  11. 9
  12. 34
  13. 2
  14. 5
  15. 23
  16. 10
  17. 17
  18. 14
  19. 10
  20. 40
  21. 1
  22. 23
  23. 24
  24. 30
  25. 6
  26. 5
  27. 120
  28. 6
  29. 11
  30. 60
  31. 725
  32. 38
  33. 5
  34. 255
  35. 31
  36. 6
  37. 35
  38. 4
  39. 8
  40. 170

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