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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 29 · 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 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 120 m and 130 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?
  4. 4.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 48 km upstream and come back?
  5. 5.Two trains, 70 m and 155 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?
  6. 6.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  7. 7.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  8. 8.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  10. 10.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 220 m and 50 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?
  12. 12.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  17. 17.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.Two trains, 120 m and 150 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?
  20. 20.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  22. 22.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.Two trains, 130 m and 310 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?
  24. 24.A boat goes 54 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 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  26. 26.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  27. 27.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  30. 30.Two trains, 50 m and 500 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?
  31. 31.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  34. 34.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  35. 35.Two trains, 210 m and 230 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?
  36. 36.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  38. 38.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.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 120 km upstream and come back?
  40. 40.Two trains, 80 m and 95 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?

Answer key

  1. 14
  2. 8
  3. 5
  4. 27
  5. 9
  6. 120
  7. 21
  8. 5
  9. 8
  10. 4
  11. 9
  12. 16
  13. 5
  14. 375
  15. 18
  16. 26
  17. 120
  18. 180
  19. 9
  20. 19
  21. 12
  22. 17
  23. 11
  24. 2
  25. 42
  26. 225
  27. 24
  28. 135
  29. 28
  30. 11
  31. 23
  32. 24
  33. 20
  34. 21
  35. 11
  36. 20
  37. 35
  38. 2
  39. 50
  40. 7

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