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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 306 · 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 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  4. 4.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?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  6. 6.Two trains, 80 m and 80 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?
  7. 7.Two trains, 150 m and 75 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?
  8. 8.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  13. 13.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.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 32 km upstream and come back?
  15. 15.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 50 m and 430 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?
  17. 17.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  23. 23.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  25. 25.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  27. 27.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  28. 28.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)?
  29. 29.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 70 m and 170 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?
  31. 31.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  32. 32.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  33. 33.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  34. 34.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  37. 37.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  39. 39.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  40. 40.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 26
  2. 36
  3. 420
  4. 20
  5. 18
  6. 8
  7. 5
  8. 23
  9. 7
  10. 16
  11. 19
  12. 19
  13. 10
  14. 20
  15. 4
  16. 12
  17. 23
  18. 28
  19. 8
  20. 15
  21. 30
  22. 63
  23. 7
  24. 22
  25. 24
  26. 27
  27. 90
  28. 18
  29. 2
  30. 6
  31. 315
  32. 33
  33. 20
  34. 12
  35. 5
  36. 80
  37. 28
  38. 18
  39. 48
  40. 725

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