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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 226 · 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 15 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  4. 4.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  5. 5.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  6. 6.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  9. 9.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  11. 11.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  12. 12.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  14. 14.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  15. 15.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 104 km upstream and come back?
  17. 17.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.Two trains, 250 m and 100 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?
  19. 19.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  20. 20.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.Two trains, 200 m and 80 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?
  22. 22.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  23. 23.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 50 m and 265 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?
  25. 25.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 120 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)?
  29. 29.Two trains, 210 m and 65 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  30. 30.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  34. 34.Two trains, 90 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?
  35. 35.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 80 m and 95 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?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  39. 39.Two trains, 110 m and 50 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?
  40. 40.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?

Answer key

  1. 225
  2. 270
  3. 9
  4. 32
  5. 14
  6. 7
  7. 64
  8. 24
  9. 20
  10. 24
  11. 525
  12. 17
  13. 20
  14. 17
  15. 120
  16. 56
  17. 12
  18. 10
  19. 13
  20. 240
  21. 8
  22. 210
  23. 22
  24. 7
  25. 18
  26. 28
  27. 19
  28. 19
  29. 11
  30. 29
  31. 5
  32. 15
  33. 20
  34. 9
  35. 18
  36. 5
  37. 25
  38. 41
  39. 8
  40. 36

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