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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 899 · 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 19 seconds. How long is the train (in metres)?
  2. 2.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  4. 4.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  7. 7.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)?
  8. 8.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.A boat goes 32 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)?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  11. 11.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.A boat goes 40 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)?
  13. 13.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  14. 14.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.Two trains, 230 m and 170 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?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  17. 17.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  20. 20.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.Two trains, 140 m and 130 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?
  22. 22.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.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)?
  24. 24.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  34. 34.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  36. 36.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  38. 38.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 72 km upstream and come back?
  40. 40.Two trains, 110 m and 205 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?

Answer key

  1. 190
  2. 560
  3. 23
  4. 100
  5. 14
  6. 11
  7. 3
  8. 580
  9. 6
  10. 21
  11. 240
  12. 18
  13. 440
  14. 24
  15. 10
  16. 42
  17. 13
  18. 140
  19. 280
  20. 225
  21. 9
  22. 320
  23. 6
  24. 17
  25. 44
  26. 7
  27. 17
  28. 5
  29. 17
  30. 2
  31. 29
  32. 21
  33. 300
  34. 17
  35. 31
  36. 150
  37. 23
  38. 25
  39. 39
  40. 7

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