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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 55 · 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 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  2. 2.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  3. 3.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  5. 5.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  7. 7.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  9. 9.Two trains, 100 m and 75 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?
  10. 10.Two trains, 220 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.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 105 km upstream and come back?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  14. 14.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  15. 15.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 120 m and 100 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?
  19. 19.Two trains, 110 m and 170 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?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 240 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  22. 22.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  23. 23.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  24. 24.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  28. 28.Two trains, 250 m and 200 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?
  29. 29.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  31. 31.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  34. 34.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  40. 40.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 28
  2. 29
  3. 13
  4. 29
  5. 19
  6. 6
  7. 60
  8. 14
  9. 7
  10. 12
  11. 3
  12. 50
  13. 8
  14. 425
  15. 20
  16. 80
  17. 21
  18. 11
  19. 8
  20. 8
  21. 12
  22. 24
  23. 21
  24. 500
  25. 17
  26. 300
  27. 25
  28. 10
  29. 29
  30. 180
  31. 390
  32. 19
  33. 27
  34. 25
  35. 1
  36. 37
  37. 1
  38. 28
  39. 10
  40. 5

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