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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 464 · 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 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  2. 2.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  3. 3.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  4. 4.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  5. 5.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  6. 6.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  8. 8.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.Two trains, 140 m and 80 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?
  10. 10.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 130 m and 255 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.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 112 km upstream and come back?
  15. 15.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  16. 16.Two trains, 180 m and 65 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  17. 17.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 72 km upstream and come back?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 18 km upstream and come back?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  22. 22.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?
  25. 25.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  26. 26.Two trains, 100 m and 60 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?
  27. 27.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  28. 28.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  30. 30.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 105 km upstream and come back?
  31. 31.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  32. 32.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  34. 34.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 63 km upstream and come back?
  35. 35.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  36. 36.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  37. 37.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 23
  2. 140
  3. 125
  4. 34
  5. 275
  6. 18
  7. 18
  8. 24
  9. 11
  10. 27
  11. 6
  12. 11
  13. 4
  14. 70
  15. 27
  16. 7
  17. 15
  18. 42
  19. 8
  20. 10
  21. 18
  22. 30
  23. 13
  24. 12
  25. 12
  26. 8
  27. 16
  28. 225
  29. 190
  30. 42
  31. 22
  32. 240
  33. 24
  34. 30
  35. 29
  36. 35
  37. 24
  38. 26
  39. 10
  40. 10

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