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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 356 · 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 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  2. 2.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  6. 6.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.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?
  8. 8.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?
  9. 9.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  11. 11.Two trains, 140 m and 400 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  15. 15.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 90 km/h passes a pole in 16 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 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 16 km upstream and come back?
  20. 20.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 200 m and 185 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.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 24 km upstream and come back?
  25. 25.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 72 km upstream and come back?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.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 56 km upstream and come back?
  28. 28.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  31. 31.Two trains, 100 m and 80 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?
  32. 32.Two trains, 160 m and 335 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.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)?
  34. 34.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  35. 35.Two trains, 50 m and 170 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?
  36. 36.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 29
  2. 6
  3. 18
  4. 14
  5. 22
  6. 120
  7. 19
  8. 9
  9. 15
  10. 180
  11. 12
  12. 675
  13. 25
  14. 270
  15. 31
  16. 9
  17. 400
  18. 20
  19. 9
  20. 180
  21. 12
  22. 11
  23. 36
  24. 10
  25. 80
  26. 7
  27. 11
  28. 22
  29. 14
  30. 14
  31. 4
  32. 11
  33. 10
  34. 38
  35. 11
  36. 10
  37. 2
  38. 18
  39. 7
  40. 3

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