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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 142 · 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 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  2. 2.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  3. 3.Two trains, 170 m and 230 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?
  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 boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  11. 11.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  12. 12.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  15. 15.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  18. 18.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  20. 20.Two trains, 130 m and 115 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?
  21. 21.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 9 km upstream and come back?
  22. 22.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  24. 24.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)?
  25. 25.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  29. 29.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  30. 30.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)?
  31. 31.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  33. 33.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  36. 36.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  39. 39.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  40. 40.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?

Answer key

  1. 440
  2. 17
  3. 10
  4. 100
  5. 2
  6. 20
  7. 40
  8. 17
  9. 9
  10. 32
  11. 10
  12. 12
  13. 17
  14. 35
  15. 27
  16. 14
  17. 280
  18. 3
  19. 39
  20. 7
  21. 10
  22. 35
  23. 30
  24. 3
  25. 20
  26. 15
  27. 13
  28. 19
  29. 22
  30. 15
  31. 18
  32. 28
  33. 44
  34. 15
  35. 13
  36. 9
  37. 24
  38. 66
  39. 24
  40. 24

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