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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 503 · 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 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  2. 2.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  3. 3.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  4. 4.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 104 km upstream and come back?
  6. 6.Two trains, 160 m and 200 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?
  7. 7.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  9. 9.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  12. 12.Two trains, 70 m and 110 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?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  14. 14.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.Two trains, 110 m and 100 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?
  18. 18.Two trains, 60 m and 255 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?
  19. 19.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  20. 20.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  21. 21.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  25. 25.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  26. 26.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  29. 29.Two trains, 80 m and 60 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?
  30. 30.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  31. 31.Two trains, 60 m and 115 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?
  32. 32.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 120 km upstream and come back?
  33. 33.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  34. 34.Two trains, 160 m and 290 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?
  35. 35.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  36. 36.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A boat goes 85 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)?
  39. 39.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?
  40. 40.Two trains, 80 m and 470 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?

Answer key

  1. 26
  2. 35
  3. 195
  4. 14
  5. 65
  6. 9
  7. 24
  8. 21
  9. 7
  10. 26
  11. 18
  12. 6
  13. 40
  14. 18
  15. 7
  16. 200
  17. 7
  18. 9
  19. 435
  20. 40
  21. 180
  22. 13
  23. 9
  24. 14
  25. 20
  26. 18
  27. 315
  28. 50
  29. 4
  30. 38
  31. 5
  32. 42
  33. 255
  34. 10
  35. 320
  36. 340
  37. 225
  38. 16
  39. 54
  40. 11

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