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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 122 · 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 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  2. 2.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  4. 4.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  6. 6.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  7. 7.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  8. 8.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  12. 12.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  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 51 km upstream and come back?
  14. 14.Two trains, 90 m and 330 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  16. 16.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 130 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  19. 19.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  20. 20.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  22. 22.Two trains, 230 m and 310 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?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  25. 25.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  26. 26.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  28. 28.Two trains, 190 m and 50 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?
  29. 29.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 8 km upstream and come back?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 95 km upstream and come back?
  31. 31.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  34. 34.A boat goes 52 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  36. 36.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  37. 37.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  40. 40.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?

Answer key

  1. 110
  2. 16
  3. 32
  4. 6
  5. 28
  6. 35
  7. 750
  8. 18
  9. 8
  10. 190
  11. 230
  12. 6
  13. 20
  14. 12
  15. 39
  16. 3
  17. 19
  18. 10
  19. 26
  20. 525
  21. 270
  22. 12
  23. 6
  24. 390
  25. 375
  26. 22
  27. 31
  28. 8
  29. 5
  30. 100
  31. 4
  32. 24
  33. 31
  34. 5
  35. 20
  36. 33
  37. 26
  38. 16
  39. 30
  40. 24

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