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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 615 · 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 running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  3. 3.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  10. 10.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  13. 13.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 170 m and 55 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?
  15. 15.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  16. 16.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 60 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  20. 20.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 120 m and 130 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?
  23. 23.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 64 km upstream and come back?
  24. 24.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  25. 25.A boat goes 22 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)?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.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 91 km upstream and come back?
  28. 28.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  29. 29.A boat goes 72 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)?
  30. 30.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  32. 32.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.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?
  36. 36.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  37. 37.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  38. 38.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  39. 39.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?

Answer key

  1. 60
  2. 21
  3. 17
  4. 4
  5. 29
  6. 30
  7. 20
  8. 34
  9. 20
  10. 6
  11. 90
  12. 90
  13. 19
  14. 5
  15. 19
  16. 30
  17. 7
  18. 4
  19. 16
  20. 175
  21. 5
  22. 5
  23. 40
  24. 150
  25. 9
  26. 11
  27. 98
  28. 18
  29. 16
  30. 26
  31. 32
  32. 24
  33. 27
  34. 11
  35. 22
  36. 260
  37. 580
  38. 14
  39. 21
  40. 27

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