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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 269 · 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 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.Two trains, 80 m and 280 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?
  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 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.Two trains, 80 m and 120 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?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  11. 11.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?
  12. 12.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  13. 13.Two trains, 250 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  15. 15.Two trains, 160 m and 240 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?
  16. 16.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  17. 17.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.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 96 km upstream and come back?
  20. 20.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?
  21. 21.A boat goes 26 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)?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  23. 23.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.Two trains, 180 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?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  29. 29.Two trains, 210 m and 110 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?
  30. 30.A boat goes 56 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)?
  31. 31.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  34. 34.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 72 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)?
  37. 37.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 725
  2. 300
  3. 9
  4. 100
  5. 20
  6. 5
  7. 112
  8. 17
  9. 10
  10. 20
  11. 30
  12. 390
  13. 12
  14. 325
  15. 10
  16. 32
  17. 5
  18. 4
  19. 36
  20. 8
  21. 10
  22. 12
  23. 1
  24. 8
  25. 25
  26. 200
  27. 8
  28. 13
  29. 8
  30. 9
  31. 5
  32. 360
  33. 435
  34. 140
  35. 13
  36. 20
  37. 255
  38. 190
  39. 35
  40. 40

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