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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 139 · 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 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  3. 3.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  5. 5.Two trains, 80 m and 340 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?
  6. 6.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  7. 7.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  13. 13.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 110 m and 115 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?
  15. 15.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  18. 18.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  21. 21.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.Two trains, 60 m and 90 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?
  23. 23.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 50 m and 90 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?
  26. 26.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  27. 27.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 60 km upstream and come back?
  30. 30.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.Two trains, 170 m and 190 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?
  33. 33.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  34. 34.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 105 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 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 30 km upstream and come back?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  38. 38.Two trains, 220 m and 220 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?
  39. 39.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 36
  2. 24
  3. 150
  4. 10
  5. 12
  6. 16
  7. 8
  8. 27
  9. 19
  10. 435
  11. 26
  12. 120
  13. 10
  14. 9
  15. 8
  16. 11
  17. 15
  18. 19
  19. 10
  20. 35
  21. 240
  22. 5
  23. 16
  24. 7
  25. 4
  26. 40
  27. 37
  28. 29
  29. 32
  30. 475
  31. 220
  32. 12
  33. 14
  34. 18
  35. 14
  36. 8
  37. 22
  38. 11
  39. 240
  40. 26

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