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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 931 · 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 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?
  2. 2.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  5. 5.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  9. 9.Two trains, 210 m and 70 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?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.Two trains, 80 m and 95 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?
  12. 12.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  13. 13.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 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 cross a platform 70 m long?
  18. 18.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 220 m and 110 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?
  20. 20.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  22. 22.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  23. 23.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  24. 24.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  27. 27.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 104 km upstream and come back?
  29. 29.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  31. 31.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  33. 33.Two trains, 60 m and 380 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?
  34. 34.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  36. 36.Two trains, 140 m and 160 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?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  39. 39.Two trains, 90 m and 150 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?
  40. 40.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 13
  2. 165
  3. 9
  4. 23
  5. 27
  6. 350
  7. 17
  8. 25
  9. 8
  10. 108
  11. 5
  12. 43
  13. 23
  14. 27
  15. 13
  16. 3
  17. 26
  18. 9
  19. 11
  20. 20
  21. 22
  22. 440
  23. 23
  24. 4
  25. 6
  26. 330
  27. 9
  28. 39
  29. 250
  30. 240
  31. 24
  32. 104
  33. 11
  34. 12
  35. 24
  36. 10
  37. 9
  38. 14
  39. 8
  40. 390

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