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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 141 · 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 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  3. 3.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  4. 4.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  6. 6.Two trains, 210 m and 210 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  8. 8.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  9. 9.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  12. 12.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 130 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?
  14. 14.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  17. 17.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 80 m and 60 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?
  20. 20.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  24. 24.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  27. 27.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  29. 29.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  32. 32.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  34. 34.A boat goes at 13 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?
  35. 35.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  39. 39.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?
  40. 40.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?

Answer key

  1. 9
  2. 14
  3. 50
  4. 11
  5. 26
  6. 12
  7. 15
  8. 38
  9. 22
  10. 80
  11. 270
  12. 3
  13. 12
  14. 24
  15. 16
  16. 18
  17. 11
  18. 8
  19. 4
  20. 19
  21. 5
  22. 30
  23. 21
  24. 18
  25. 7
  26. 260
  27. 25
  28. 520
  29. 100
  30. 28
  31. 34
  32. 400
  33. 28
  34. 13
  35. 14
  36. 22
  37. 15
  38. 19
  39. 5
  40. 165

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