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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 238 · 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 boat goes 70 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)?
  2. 2.Two trains, 190 m and 110 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?
  3. 3.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 140 m and 260 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?
  6. 6.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.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 84 km upstream and come back?
  8. 8.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  11. 11.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  14. 14.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  15. 15.Two trains, 50 m and 370 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 40 km upstream and come back?
  18. 18.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  20. 20.Two trains, 230 m and 90 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?
  21. 21.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  22. 22.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  26. 26.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  27. 27.Two trains, 100 m and 175 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?
  28. 28.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  30. 30.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 88 km upstream and come back?
  31. 31.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  35. 35.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  38. 38.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 200 m and 120 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?

Answer key

  1. 12
  2. 10
  3. 22
  4. 23
  5. 10
  6. 6
  7. 35
  8. 7
  9. 20
  10. 21
  11. 10
  12. 29
  13. 200
  14. 39
  15. 12
  16. 11
  17. 24
  18. 1
  19. 13
  20. 8
  21. 19
  22. 30
  23. 17
  24. 650
  25. 30
  26. 210
  27. 11
  28. 15
  29. 36
  30. 33
  31. 16
  32. 10
  33. 20
  34. 270
  35. 125
  36. 18
  37. 110
  38. 70
  39. 19
  40. 8

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