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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 103 · 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.Two trains, 100 m and 110 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?
  2. 2.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  4. 4.Two trains, 70 m and 480 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?
  5. 5.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 110 m and 190 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?
  7. 7.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.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?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  12. 12.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  13. 13.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 40 km upstream and come back?
  15. 15.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  17. 17.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)?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  19. 19.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  21. 21.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  23. 23.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  25. 25.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  26. 26.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  27. 27.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.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 92 km upstream and come back?
  30. 30.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  34. 34.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  35. 35.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  37. 37.Two trains, 120 m and 160 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  38. 38.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?
  39. 39.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 6
  2. 15
  3. 24
  4. 11
  5. 1
  6. 10
  7. 15
  8. 220
  9. 15
  10. 18
  11. 26
  12. 34
  13. 24
  14. 22
  15. 9
  16. 20
  17. 4
  18. 29
  19. 27
  20. 270
  21. 29
  22. 41
  23. 23
  24. 22
  25. 27
  26. 8
  27. 3
  28. 17
  29. 96
  30. 1
  31. 19
  32. 40
  33. 160
  34. 35
  35. 120
  36. 475
  37. 7
  38. 14
  39. 14
  40. 6

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