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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 410 · 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 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  2. 2.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  6. 6.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.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 58 km upstream and come back?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  9. 9.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 84 km upstream and come back?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  12. 12.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  13. 13.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  16. 16.A train running at 54 km/h passes a pole in 20 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 pass a pole?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 km upstream and come back?
  19. 19.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  20. 20.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 150 m and 170 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 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  26. 26.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  28. 28.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  29. 29.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  33. 33.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  35. 35.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 33
  2. 24
  3. 120
  4. 5
  5. 220
  6. 17
  7. 60
  8. 35
  9. 35
  10. 22
  11. 28
  12. 37
  13. 17
  14. 7
  15. 42
  16. 300
  17. 6
  18. 64
  19. 13
  20. 18
  21. 8
  22. 13
  23. 5
  24. 500
  25. 270
  26. 2
  27. 29
  28. 30
  29. 30
  30. 19
  31. 8
  32. 150
  33. 2
  34. 17
  35. 6
  36. 27
  37. 9
  38. 10
  39. 24
  40. 9

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