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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 806 · 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 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  3. 3.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  4. 4.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  5. 5.Two trains, 60 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 9 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?
  8. 8.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  10. 10.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  12. 12.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 5 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?
  14. 14.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  15. 15.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?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  17. 17.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 55 km upstream and come back?
  18. 18.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.Two trains, 230 m and 120 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?
  20. 20.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  21. 21.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 100 m and 50 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?
  23. 23.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  24. 24.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  26. 26.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  29. 29.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  30. 30.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  32. 32.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  34. 34.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  35. 35.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 200
  3. 170
  4. 525
  5. 11
  6. 50
  7. 27
  8. 32
  9. 25
  10. 24
  11. 38
  12. 300
  13. 80
  14. 340
  15. 28
  16. 37
  17. 16
  18. 18
  19. 10
  20. 16
  21. 8
  22. 6
  23. 38
  24. 18
  25. 28
  26. 14
  27. 25
  28. 8
  29. 390
  30. 21
  31. 40
  32. 7
  33. 41
  34. 26
  35. 8
  36. 18
  37. 4
  38. 25
  39. 17
  40. 27

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