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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 550 · 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 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  2. 2.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  3. 3.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  5. 5.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  6. 6.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  8. 8.Two trains, 150 m and 290 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 70 km upstream and come back?
  10. 10.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  11. 11.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.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?
  13. 13.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes 32 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)?
  15. 15.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  16. 16.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  17. 17.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  20. 20.Two trains, 100 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  21. 21.Two trains, 90 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  22. 22.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  25. 25.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  28. 28.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  29. 29.Two trains, 70 m and 55 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  30. 30.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 42 km upstream and come back?
  31. 31.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.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?
  34. 34.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 110 m and 90 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?
  36. 36.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  37. 37.A boat goes 75 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)?
  38. 38.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  39. 39.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  40. 40.Two trains, 120 m and 80 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?

Answer key

  1. 21
  2. 195
  3. 16
  4. 14
  5. 405
  6. 5
  7. 270
  8. 11
  9. 40
  10. 28
  11. 27
  12. 19
  13. 13
  14. 13
  15. 13
  16. 300
  17. 29
  18. 2
  19. 460
  20. 12
  21. 6
  22. 14
  23. 16
  24. 275
  25. 3
  26. 12
  27. 70
  28. 30
  29. 5
  30. 20
  31. 21
  32. 1
  33. 30
  34. 13
  35. 10
  36. 31
  37. 13
  38. 20
  39. 300
  40. 5

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