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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 517 · 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 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  2. 2.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 200 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  5. 5.Two trains, 220 m and 130 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?
  6. 6.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  7. 7.Two trains, 120 m and 300 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?
  8. 8.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 130 m and 120 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?
  13. 13.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 50 m and 75 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?
  18. 18.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  19. 19.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  21. 21.Two trains, 240 m and 145 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?
  22. 22.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  24. 24.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  27. 27.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  29. 29.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  30. 30.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 70 m and 140 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?
  32. 32.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  36. 36.Two trains, 160 m and 225 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 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  40. 40.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 27
  2. 450
  3. 3
  4. 12
  5. 10
  6. 350
  7. 12
  8. 11
  9. 15
  10. 26
  11. 5
  12. 5
  13. 13
  14. 15
  15. 27
  16. 12
  17. 5
  18. 22
  19. 19
  20. 300
  21. 11
  22. 4
  23. 5
  24. 5
  25. 6
  26. 27
  27. 17
  28. 33
  29. 19
  30. 12
  31. 7
  32. 24
  33. 8
  34. 90
  35. 175
  36. 11
  37. 15
  38. 13
  39. 30
  40. 2

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