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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 500 · 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 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.Two trains, 130 m and 95 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  8. 8.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  11. 11.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  13. 13.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  16. 16.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 64 km upstream and come back?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  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 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  23. 23.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  25. 25.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 44 km upstream and come back?
  26. 26.Two trains, 150 m and 180 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?
  27. 27.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.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 120 km upstream and come back?
  29. 29.Two trains, 50 m and 75 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 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 90 m and 70 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?
  33. 33.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  34. 34.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  36. 36.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  40. 40.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?

Answer key

  1. 7
  2. 600
  3. 160
  4. 110
  5. 9
  6. 19
  7. 15
  8. 8
  9. 11
  10. 55
  11. 14
  12. 28
  13. 3
  14. 70
  15. 21
  16. 195
  17. 18
  18. 5
  19. 7
  20. 10
  21. 22
  22. 375
  23. 3
  24. 22
  25. 24
  26. 11
  27. 26
  28. 35
  29. 5
  30. 12
  31. 2
  32. 4
  33. 220
  34. 2
  35. 24
  36. 31
  37. 32
  38. 18
  39. 27
  40. 175

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