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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 621 · 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 running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  3. 3.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  6. 6.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  7. 7.A train 325 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 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  9. 9.Two trains, 120 m and 105 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 70 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  14. 14.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  15. 15.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 54 km upstream and come back?
  17. 17.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 105 km upstream and come back?
  18. 18.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  19. 19.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 64 km upstream and come back?
  21. 21.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  24. 24.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  25. 25.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  27. 27.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  37. 37.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  38. 38.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.Two trains, 160 m and 280 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?
  40. 40.Two trains, 90 m and 240 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?

Answer key

  1. 390
  2. 9
  3. 70
  4. 190
  5. 19
  6. 270
  7. 13
  8. 10
  9. 5
  10. 12
  11. 7
  12. 24
  13. 15
  14. 560
  15. 750
  16. 12
  17. 50
  18. 160
  19. 40
  20. 12
  21. 200
  22. 24
  23. 34
  24. 24
  25. 20
  26. 90
  27. 17
  28. 19
  29. 23
  30. 17
  31. 12
  32. 14
  33. 1
  34. 180
  35. 20
  36. 37
  37. 300
  38. 34
  39. 11
  40. 11

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