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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 836 · 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 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.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?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  4. 4.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 90 km upstream and come back?
  5. 5.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.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?
  7. 7.A boat goes 64 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)?
  8. 8.Two trains, 230 m and 190 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?
  9. 9.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  10. 10.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  12. 12.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  15. 15.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  17. 17.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.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 96 km upstream and come back?
  21. 21.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  22. 22.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  23. 23.Two trains, 90 m and 240 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?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 80 m and 200 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?
  29. 29.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.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 110 km upstream and come back?
  31. 31.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  33. 33.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  34. 34.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  35. 35.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  36. 36.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  37. 37.Two trains, 110 m and 170 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?
  38. 38.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)?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  40. 40.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 7
  2. 10
  3. 8
  4. 28
  5. 27
  6. 24
  7. 13
  8. 12
  9. 18
  10. 90
  11. 9
  12. 22
  13. 19
  14. 88
  15. 34
  16. 675
  17. 25
  18. 27
  19. 9
  20. 28
  21. 16
  22. 280
  23. 11
  24. 22
  25. 130
  26. 12
  27. 1
  28. 7
  29. 15
  30. 120
  31. 5
  32. 21
  33. 300
  34. 27
  35. 35
  36. 240
  37. 8
  38. 5
  39. 37
  40. 6

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