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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 525 · 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 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  2. 2.Two trains, 100 m and 125 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?
  3. 3.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  4. 4.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)?
  5. 5.A boat goes at 15 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?
  6. 6.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  8. 8.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  9. 9.Two trains, 120 m and 155 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?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  14. 14.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  17. 17.Two trains, 130 m and 310 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?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  20. 20.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  22. 22.A train 330 m long runs at 54 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 220 m long?
  24. 24.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  25. 25.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  26. 26.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  28. 28.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  29. 29.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  31. 31.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  33. 33.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  34. 34.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  35. 35.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  36. 36.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  37. 37.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  38. 38.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.Two trains, 190 m and 50 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?
  40. 40.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 26
  2. 5
  3. 300
  4. 18
  5. 5
  6. 1
  7. 27
  8. 34
  9. 11
  10. 48
  11. 16
  12. 17
  13. 40
  14. 15
  15. 39
  16. 14
  17. 11
  18. 7
  19. 17
  20. 12
  21. 31
  22. 22
  23. 28
  24. 28
  25. 140
  26. 11
  27. 23
  28. 240
  29. 1
  30. 520
  31. 3
  32. 17
  33. 22
  34. 35
  35. 22
  36. 27
  37. 80
  38. 460
  39. 6
  40. 28

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