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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 384 · 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 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  2. 2.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 50 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  4. 4.Two trains, 130 m and 115 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  7. 7.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  8. 8.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 90 m and 110 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?
  11. 11.Two trains, 220 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  15. 15.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  16. 16.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  18. 18.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  20. 20.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.Two trains, 240 m and 200 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?
  22. 22.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  26. 26.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  27. 27.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  29. 29.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  30. 30.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 190 m and 170 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.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 108 km upstream and come back?
  33. 33.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  36. 36.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  37. 37.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.Two trains, 70 m and 380 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 31
  2. 2
  3. 9
  4. 7
  5. 20
  6. 435
  7. 27
  8. 13
  9. 5
  10. 10
  11. 9
  12. 38
  13. 33
  14. 8
  15. 350
  16. 520
  17. 17
  18. 2
  19. 75
  20. 200
  21. 11
  22. 18
  23. 320
  24. 240
  25. 16
  26. 39
  27. 26
  28. 29
  29. 22
  30. 12
  31. 8
  32. 45
  33. 18
  34. 10
  35. 105
  36. 36
  37. 19
  38. 575
  39. 28
  40. 9

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