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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 437 · 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, 110 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  2. 2.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.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 36 km upstream and come back?
  7. 7.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?
  8. 8.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  9. 9.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  10. 10.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)?
  11. 11.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  12. 12.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  13. 13.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  15. 15.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 90 m and 315 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?
  18. 18.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 104 km upstream and come back?
  19. 19.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.Two trains, 80 m and 95 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?
  22. 22.A boat goes 26 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)?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  24. 24.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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?
  26. 26.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  27. 27.Two trains, 170 m and 55 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 180 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?
  30. 30.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  33. 33.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  34. 34.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.Two trains, 200 m and 115 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?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 4
  2. 23
  3. 225
  4. 26
  5. 15
  6. 16
  7. 22
  8. 15
  9. 325
  10. 9
  11. 36
  12. 25
  13. 90
  14. 27
  15. 15
  16. 18
  17. 9
  18. 112
  19. 2
  20. 140
  21. 7
  22. 10
  23. 27
  24. 18
  25. 98
  26. 25
  27. 5
  28. 17
  29. 12
  30. 4
  31. 3
  32. 26
  33. 170
  34. 37
  35. 1
  36. 11
  37. 9
  38. 26
  39. 6
  40. 30

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