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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 753 · 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.Two trains, 100 m and 170 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 130 m and 110 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?
  4. 4.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  6. 6.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 54 km upstream and come back?
  7. 7.Two trains, 220 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  8. 8.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.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?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 96 km upstream and come back?
  11. 11.Two trains, 160 m and 225 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?
  12. 12.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.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 75 km upstream and come back?
  15. 15.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  16. 16.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  19. 19.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 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 12 km upstream and come back?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  25. 25.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  26. 26.Two trains, 180 m and 120 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?
  27. 27.Two trains, 60 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  28. 28.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  29. 29.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  31. 31.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  33. 33.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  34. 34.Two trains, 60 m and 115 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?
  35. 35.Two trains, 130 m and 185 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?
  36. 36.Two trains, 220 m and 50 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  39. 39.Two trains, 150 m and 270 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?
  40. 40.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?

Answer key

  1. 6
  2. 5
  3. 12
  4. 22
  5. 9
  6. 8
  7. 12
  8. 135
  9. 20
  10. 24
  11. 11
  12. 5
  13. 9
  14. 80
  15. 33
  16. 19
  17. 425
  18. 20
  19. 18
  20. 9
  21. 24
  22. 30
  23. 5
  24. 22
  25. 48
  26. 10
  27. 6
  28. 32
  29. 100
  30. 20
  31. 12
  32. 40
  33. 400
  34. 7
  35. 9
  36. 6
  37. 14
  38. 200
  39. 12
  40. 23

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