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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 12 · 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 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 130 m and 170 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?
  3. 3.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  5. 5.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  6. 6.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  7. 7.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 80 m and 160 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?
  10. 10.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  16. 16.Two trains, 140 m and 260 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?
  17. 17.Two trains, 70 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.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 48 km upstream and come back?
  20. 20.Two trains, 140 m and 220 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?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  23. 23.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 108 km upstream and come back?
  28. 28.Two trains, 60 m and 60 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?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  30. 30.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 96 km upstream and come back?
  31. 31.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.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 112 km upstream and come back?
  33. 33.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 56 km upstream and come back?
  34. 34.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  36. 36.Two trains, 60 m and 90 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?
  37. 37.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?

Answer key

  1. 8
  2. 12
  3. 9
  4. 20
  5. 255
  6. 435
  7. 26
  8. 21
  9. 8
  10. 10
  11. 600
  12. 6
  13. 3
  14. 420
  15. 27
  16. 10
  17. 10
  18. 120
  19. 20
  20. 12
  21. 15
  22. 25
  23. 29
  24. 1
  25. 5
  26. 2
  27. 16
  28. 4
  29. 16
  30. 54
  31. 25
  32. 22
  33. 21
  34. 300
  35. 20
  36. 5
  37. 3
  38. 9
  39. 250
  40. 23

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