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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 134 · 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 running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.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?
  3. 3.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  5. 5.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  6. 6.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  8. 8.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  11. 11.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  13. 13.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 110 m and 70 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?
  15. 15.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  16. 16.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 170 m and 215 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.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)?
  19. 19.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  22. 22.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  23. 23.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  24. 24.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  27. 27.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.Two trains, 50 m and 220 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?
  30. 30.Two trains, 120 m and 120 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?
  31. 31.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 48 km upstream and come back?
  32. 32.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 9 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?
  34. 34.Two trains, 180 m and 260 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?
  35. 35.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 64 km upstream and come back?
  37. 37.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 80 m and 280 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?
  39. 39.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?

Answer key

  1. 135
  2. 26
  3. 10
  4. 260
  5. 17
  6. 19
  7. 33
  8. 280
  9. 360
  10. 30
  11. 4
  12. 400
  13. 3
  14. 6
  15. 21
  16. 6
  17. 11
  18. 9
  19. 23
  20. 7
  21. 220
  22. 33
  23. 725
  24. 22
  25. 24
  26. 12
  27. 10
  28. 22
  29. 9
  30. 6
  31. 10
  32. 500
  33. 9
  34. 11
  35. 11
  36. 12
  37. 15
  38. 9
  39. 26
  40. 29

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