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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 750 · 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, 50 m and 190 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?
  2. 2.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  3. 3.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.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 32 km upstream and come back?
  5. 5.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  7. 7.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  11. 11.Two trains, 180 m and 120 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?
  12. 12.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 108 km upstream and come back?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  14. 14.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?
  15. 15.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?
  16. 16.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  18. 18.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.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 51 km upstream and come back?
  20. 20.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 110 m and 295 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?
  22. 22.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  24. 24.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.Two trains, 90 m and 160 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?
  26. 26.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 160 m and 170 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?
  28. 28.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  29. 29.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 90 km upstream and come back?
  30. 30.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  36. 36.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  38. 38.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  39. 39.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  40. 40.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 6
  2. 28
  3. 7
  4. 12
  5. 8
  6. 29
  7. 14
  8. 12
  9. 19
  10. 27
  11. 6
  12. 63
  13. 33
  14. 8
  15. 22
  16. 16
  17. 34
  18. 21
  19. 20
  20. 1
  21. 9
  22. 15
  23. 28
  24. 11
  25. 10
  26. 23
  27. 11
  28. 16
  29. 16
  30. 15
  31. 7
  32. 4
  33. 21
  34. 5
  35. 40
  36. 150
  37. 36
  38. 39
  39. 50
  40. 5

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