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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 494 · 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 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  5. 5.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  8. 8.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  9. 9.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  10. 10.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  12. 12.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  13. 13.Two trains, 170 m and 190 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?
  14. 14.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  16. 16.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  19. 19.Two trains, 80 m and 60 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?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 20 km upstream and come back?
  23. 23.Two trains, 130 m and 95 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?
  24. 24.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  26. 26.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  29. 29.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.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 81 km upstream and come back?
  32. 32.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  35. 35.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 230 m and 370 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  40. 40.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?

Answer key

  1. 5
  2. 3
  3. 110
  4. 29
  5. 15
  6. 3
  7. 10
  8. 36
  9. 20
  10. 22
  11. 31
  12. 38
  13. 12
  14. 390
  15. 24
  16. 16
  17. 13
  18. 27
  19. 7
  20. 10
  21. 3
  22. 12
  23. 9
  24. 7
  25. 26
  26. 150
  27. 1
  28. 75
  29. 18
  30. 3
  31. 90
  32. 260
  33. 33
  34. 22
  35. 11
  36. 12
  37. 3
  38. 130
  39. 20
  40. 330

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