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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 116 · 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 at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 108 km upstream and come back?
  2. 2.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 50 m and 310 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?
  4. 4.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  5. 5.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  7. 7.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  12. 12.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  14. 14.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.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 21 km upstream and come back?
  17. 17.Two trains, 70 m and 140 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?
  18. 18.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  21. 21.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 100 m and 150 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?
  23. 23.Two trains, 130 m and 50 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?
  24. 24.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  25. 25.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  29. 29.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  30. 30.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.Two trains, 200 m and 115 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?
  34. 34.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  35. 35.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  37. 37.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 112 km upstream and come back?
  39. 39.Two trains, 170 m and 325 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?
  40. 40.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?

Answer key

  1. 45
  2. 21
  3. 9
  4. 380
  5. 17
  6. 340
  7. 7
  8. 6
  9. 27
  10. 525
  11. 32
  12. 18
  13. 300
  14. 30
  15. 60
  16. 10
  17. 7
  18. 27
  19. 15
  20. 330
  21. 25
  22. 5
  23. 6
  24. 160
  25. 14
  26. 23
  27. 700
  28. 38
  29. 26
  30. 29
  31. 43
  32. 15
  33. 9
  34. 20
  35. 24
  36. 15
  37. 27
  38. 63
  39. 11
  40. 65

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