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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 333 · 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.Two trains, 170 m and 280 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?
  2. 2.Two trains, 50 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?
  3. 3.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  4. 4.A boat goes 32 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)?
  5. 5.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  6. 6.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  7. 7.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 42 km upstream and come back?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  11. 11.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  12. 12.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.Two trains, 70 m and 105 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?
  16. 16.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  20. 20.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.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 24 km upstream and come back?
  22. 22.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  23. 23.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 210 m and 190 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?
  25. 25.Two trains, 80 m and 220 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?
  26. 26.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?
  28. 28.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  29. 29.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  33. 33.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  35. 35.Two trains, 100 m and 110 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?
  36. 36.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  39. 39.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  40. 40.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 9
  2. 9
  3. 6
  4. 11
  5. 27
  6. 300
  7. 30
  8. 40
  9. 24
  10. 9
  11. 35
  12. 16
  13. 19
  14. 330
  15. 5
  16. 2
  17. 6
  18. 11
  19. 13
  20. 225
  21. 9
  22. 25
  23. 14
  24. 8
  25. 10
  26. 33
  27. 14
  28. 33
  29. 100
  30. 14
  31. 25
  32. 120
  33. 200
  34. 25
  35. 6
  36. 4
  37. 210
  38. 19
  39. 35
  40. 17

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