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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 731 · 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 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  2. 2.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 40 km upstream and come back?
  3. 3.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  4. 4.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  5. 5.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  9. 9.Two trains, 50 m and 370 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  10. 10.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  13. 13.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.Two trains, 160 m and 190 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?
  17. 17.Two trains, 150 m and 390 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 80 m and 160 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?
  21. 21.Two trains, 70 m and 410 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  22. 22.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  25. 25.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 108 km upstream and come back?
  29. 29.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  31. 31.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 74 km upstream and come back?
  36. 36.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  37. 37.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  38. 38.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?
  39. 39.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  40. 40.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?

Answer key

  1. 23
  2. 14
  3. 28
  4. 100
  5. 160
  6. 9
  7. 12
  8. 210
  9. 12
  10. 22
  11. 16
  12. 36
  13. 90
  14. 28
  15. 25
  16. 10
  17. 12
  18. 19
  19. 16
  20. 8
  21. 12
  22. 21
  23. 5
  24. 12
  25. 32
  26. 80
  27. 450
  28. 60
  29. 4
  30. 12
  31. 26
  32. 19
  33. 50
  34. 15
  35. 76
  36. 30
  37. 15
  38. 28
  39. 30
  40. 130

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