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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 436 · 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 at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  2. 2.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 100 m and 60 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?
  4. 4.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  7. 7.Two trains, 50 m and 250 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 train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 8 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?
  10. 10.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  12. 12.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  13. 13.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.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)?
  16. 16.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 180 m and 135 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 running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  19. 19.Two trains, 50 m and 150 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 boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.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 105 km upstream and come back?
  22. 22.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 70 km upstream and come back?
  23. 23.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  24. 24.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  27. 27.Two trains, 120 m and 90 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?
  28. 28.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  29. 29.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  31. 31.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  32. 32.Two trains, 150 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  34. 34.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 140 m and 220 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?
  37. 37.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  40. 40.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 32
  2. 3
  3. 4
  4. 120
  5. 30
  6. 20
  7. 12
  8. 200
  9. 24
  10. 1
  11. 405
  12. 23
  13. 5
  14. 17
  15. 3
  16. 1
  17. 7
  18. 390
  19. 10
  20. 11
  21. 36
  22. 24
  23. 32
  24. 5
  25. 27
  26. 17
  27. 6
  28. 240
  29. 19
  30. 30
  31. 26
  32. 7
  33. 26
  34. 1
  35. 12
  36. 12
  37. 2
  38. 10
  39. 33
  40. 270

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