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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 529 · 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 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  2. 2.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 60 m and 380 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?
  4. 4.A boat goes 105 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)?
  5. 5.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  6. 6.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.Two trains, 70 m and 200 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  8. 8.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  11. 11.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  12. 12.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  14. 14.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  16. 16.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  19. 19.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  20. 20.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  23. 23.Two trains, 140 m and 130 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?
  24. 24.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  28. 28.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.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)?
  30. 30.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  32. 32.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  34. 34.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  35. 35.Two trains, 50 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  36. 36.Two trains, 220 m and 130 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.Two trains, 100 m and 200 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?
  38. 38.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  40. 40.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 22
  2. 6
  3. 11
  4. 18
  5. 375
  6. 195
  7. 9
  8. 25
  9. 27
  10. 13
  11. 30
  12. 5
  13. 38
  14. 29
  15. 29
  16. 3
  17. 28
  18. 14
  19. 10
  20. 16
  21. 35
  22. 220
  23. 6
  24. 27
  25. 11
  26. 19
  27. 29
  28. 15
  29. 20
  30. 2
  31. 180
  32. 21
  33. 16
  34. 23
  35. 9
  36. 7
  37. 10
  38. 5
  39. 15
  40. 5

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