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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 598 · 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 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  2. 2.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  4. 4.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  6. 6.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  8. 8.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  10. 10.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  13. 13.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  14. 14.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  15. 15.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  18. 18.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  19. 19.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 16 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)?
  21. 21.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?
  22. 22.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  23. 23.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  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.Two trains, 240 m and 120 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?
  26. 26.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  28. 28.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  30. 30.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  31. 31.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 56 km upstream and come back?
  32. 32.Two trains, 60 m and 380 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?
  33. 33.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 110 m and 170 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?
  36. 36.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  37. 37.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 29
  2. 675
  3. 4
  4. 43
  5. 21
  6. 20
  7. 435
  8. 6
  9. 525
  10. 200
  11. 11
  12. 28
  13. 43
  14. 210
  15. 31
  16. 6
  17. 13
  18. 30
  19. 17
  20. 7
  21. 8
  22. 19
  23. 24
  24. 14
  25. 9
  26. 33
  27. 39
  28. 11
  29. 135
  30. 160
  31. 21
  32. 11
  33. 190
  34. 17
  35. 7
  36. 44
  37. 24
  38. 12
  39. 28
  40. 4

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