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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 214 · 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 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  3. 3.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 46 km upstream and come back?
  6. 6.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.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?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 112 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 78 km upstream and come back?
  13. 13.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 12 km upstream and come back?
  17. 17.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  18. 18.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 24 km upstream and come back?
  19. 19.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  21. 21.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 88 km upstream and come back?
  22. 22.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 24 km upstream and come back?
  23. 23.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)?
  24. 24.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.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)?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  27. 27.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.Two trains, 70 m and 245 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?
  30. 30.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.Two trains, 110 m and 50 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?
  32. 32.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 64 km upstream and come back?
  36. 36.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  40. 40.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?

Answer key

  1. 27
  2. 90
  3. 8
  4. 26
  5. 48
  6. 2
  7. 17
  8. 26
  9. 63
  10. 725
  11. 1
  12. 84
  13. 11
  14. 6
  15. 24
  16. 3
  17. 27
  18. 5
  19. 29
  20. 34
  21. 33
  22. 3
  23. 9
  24. 27
  25. 2
  26. 28
  27. 30
  28. 25
  29. 9
  30. 405
  31. 8
  32. 250
  33. 5
  34. 8
  35. 12
  36. 200
  37. 16
  38. 23
  39. 31
  40. 500

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