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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 968 · 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 running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  2. 2.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  3. 3.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  9. 9.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?
  11. 11.Two trains, 170 m and 50 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?
  12. 12.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  14. 14.Two trains, 120 m and 265 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?
  15. 15.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  17. 17.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  22. 22.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 64 km upstream and come back?
  26. 26.Two trains, 210 m and 70 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?
  27. 27.Two trains, 120 m and 80 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?
  28. 28.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 50 m and 220 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?
  32. 32.Two trains, 230 m and 130 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?
  33. 33.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 160 m and 110 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?
  35. 35.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  38. 38.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 32 km upstream and come back?
  39. 39.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)?
  40. 40.Two trains, 70 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?

Answer key

  1. 160
  2. 42
  3. 35
  4. 32
  5. 6
  6. 17
  7. 240
  8. 29
  9. 140
  10. 42
  11. 11
  12. 11
  13. 22
  14. 11
  15. 14
  16. 290
  17. 14
  18. 11
  19. 2
  20. 3
  21. 460
  22. 2
  23. 4
  24. 8
  25. 40
  26. 7
  27. 5
  28. 12
  29. 27
  30. 7
  31. 9
  32. 12
  33. 26
  34. 6
  35. 5
  36. 20
  37. 41
  38. 5
  39. 18
  40. 11

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