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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 493 · 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 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  6. 6.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 70 m and 80 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?
  8. 8.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 170 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  11. 11.Two trains, 160 m and 80 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?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  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 boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 210 m and 70 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?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  18. 18.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 120 m and 195 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  20. 20.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  25. 25.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  26. 26.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  31. 31.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  32. 32.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 70 m and 205 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?
  34. 34.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  35. 35.Two trains, 50 m and 280 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?
  36. 36.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?
  37. 37.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  38. 38.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.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 20 km upstream and come back?

Answer key

  1. 9
  2. 2
  3. 520
  4. 90
  5. 36
  6. 25
  7. 6
  8. 1
  9. 2
  10. 8
  11. 6
  12. 28
  13. 17
  14. 28
  15. 1
  16. 7
  17. 15
  18. 1
  19. 7
  20. 8
  21. 19
  22. 7
  23. 1
  24. 12
  25. 225
  26. 28
  27. 23
  28. 7
  29. 19
  30. 31
  31. 560
  32. 2
  33. 11
  34. 750
  35. 11
  36. 22
  37. 18
  38. 5
  39. 175
  40. 11

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