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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 467 · 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 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.Two trains, 130 m and 110 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?
  3. 3.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  6. 6.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 28 km upstream and come back?
  7. 7.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)?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  9. 9.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  12. 12.Two trains, 70 m and 290 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?
  13. 13.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  14. 14.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 117 km upstream and come back?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  17. 17.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  19. 19.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  22. 22.A boat goes 54 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)?
  23. 23.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 180 m and 205 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  29. 29.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  33. 33.Two trains, 50 m and 335 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?
  34. 34.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  37. 37.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 10 km upstream and come back?
  38. 38.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 80 m and 340 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  40. 40.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?

Answer key

  1. 8
  2. 12
  3. 25
  4. 14
  5. 27
  6. 9
  7. 3
  8. 20
  9. 14
  10. 425
  11. 25
  12. 8
  13. 25
  14. 11
  15. 52
  16. 16
  17. 100
  18. 41
  19. 220
  20. 3
  21. 27
  22. 17
  23. 4
  24. 16
  25. 11
  26. 3
  27. 13
  28. 18
  29. 200
  30. 17
  31. 360
  32. 23
  33. 11
  34. 1
  35. 9
  36. 38
  37. 6
  38. 2
  39. 12
  40. 23

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