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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 376 · 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 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  2. 2.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  3. 3.Two trains, 120 m and 160 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?
  4. 4.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  5. 5.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 100 m and 125 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?
  7. 7.Two trains, 190 m and 195 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?
  8. 8.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  10. 10.Two trains, 80 m and 320 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  13. 13.Two trains, 60 m and 140 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?
  14. 14.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.Two trains, 110 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?
  17. 17.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  20. 20.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 51 km upstream and come back?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  24. 24.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  25. 25.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  27. 27.Two trains, 230 m and 50 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?
  28. 28.Two trains, 140 m and 300 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  33. 33.Two trains, 80 m and 340 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?
  34. 34.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  36. 36.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 108 km upstream and come back?
  37. 37.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 50 m and 300 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?
  39. 39.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.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 84 km upstream and come back?

Answer key

  1. 26
  2. 8
  3. 8
  4. 43
  5. 13
  6. 9
  7. 11
  8. 7
  9. 480
  10. 10
  11. 5
  12. 520
  13. 4
  14. 8
  15. 60
  16. 9
  17. 165
  18. 22
  19. 23
  20. 54
  21. 21
  22. 22
  23. 12
  24. 28
  25. 16
  26. 35
  27. 8
  28. 11
  29. 20
  30. 575
  31. 5
  32. 39
  33. 12
  34. 4
  35. 12
  36. 120
  37. 17
  38. 10
  39. 14
  40. 16

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