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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 23 · 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 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  3. 3.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.Two trains, 220 m and 110 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?
  5. 5.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  6. 6.Two trains, 220 m and 200 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  7. 7.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  12. 12.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  16. 16.Two trains, 100 m and 200 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?
  17. 17.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 9 km upstream and come back?
  18. 18.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  19. 19.A boat goes 40 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)?
  20. 20.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 120 m and 265 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?
  22. 22.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  23. 23.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  26. 26.Two trains, 210 m and 105 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?
  27. 27.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  29. 29.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  30. 30.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  31. 31.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 70 m and 150 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?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  34. 34.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 21 km upstream and come back?
  35. 35.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  36. 36.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  39. 39.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?

Answer key

  1. 25
  2. 28
  3. 6
  4. 11
  5. 54
  6. 12
  7. 25
  8. 8
  9. 75
  10. 3
  11. 23
  12. 80
  13. 20
  14. 5
  15. 4
  16. 12
  17. 10
  18. 30
  19. 7
  20. 10
  21. 11
  22. 26
  23. 1
  24. 725
  25. 38
  26. 7
  27. 26
  28. 37
  29. 14
  30. 40
  31. 26
  32. 11
  33. 35
  34. 10
  35. 540
  36. 5
  37. 18
  38. 16
  39. 16
  40. 15

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