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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 508 · 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 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  3. 3.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  5. 5.Two trains, 70 m and 155 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?
  6. 6.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  8. 8.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  10. 10.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.Two trains, 110 m and 115 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?
  12. 12.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  15. 15.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  17. 17.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  18. 18.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  19. 19.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  20. 20.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  22. 22.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  23. 23.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)?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 100 m and 75 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?
  26. 26.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  27. 27.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  33. 33.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.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)?
  35. 35.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 60 km upstream and come back?
  36. 36.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  37. 37.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  38. 38.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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 45 km upstream and come back?

Answer key

  1. 27
  2. 110
  3. 2
  4. 140
  5. 9
  6. 7
  7. 8
  8. 27
  9. 28
  10. 23
  11. 9
  12. 750
  13. 5
  14. 24
  15. 12
  16. 33
  17. 22
  18. 34
  19. 28
  20. 4
  21. 30
  22. 24
  23. 2
  24. 7
  25. 7
  26. 27
  27. 18
  28. 8
  29. 15
  30. 3
  31. 5
  32. 19
  33. 18
  34. 3
  35. 16
  36. 480
  37. 24
  38. 460
  39. 8
  40. 50

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