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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 187 · 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 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.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 14 km upstream and come back?
  7. 7.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  13. 13.Two trains, 160 m and 80 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?
  14. 14.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 80 km upstream and come back?
  15. 15.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 100 m and 180 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?
  18. 18.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.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 96 km upstream and come back?
  21. 21.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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 42 km upstream and come back?
  24. 24.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 220 m and 100 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?
  26. 26.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  28. 28.Two trains, 50 m and 190 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?
  29. 29.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?
  30. 30.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 84 km upstream and come back?
  31. 31.Two trains, 60 m and 180 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?
  32. 32.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  33. 33.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 9 km upstream and come back?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  36. 36.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 63 km upstream and come back?
  37. 37.Two trains, 130 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  38. 38.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  39. 39.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  40. 40.Two trains, 140 m and 80 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?

Answer key

  1. 12
  2. 19
  3. 26
  4. 10
  5. 6
  6. 8
  7. 225
  8. 8
  9. 2
  10. 19
  11. 22
  12. 250
  13. 8
  14. 30
  15. 560
  16. 18
  17. 7
  18. 40
  19. 32
  20. 60
  21. 19
  22. 12
  23. 20
  24. 6
  25. 8
  26. 16
  27. 16
  28. 6
  29. 12
  30. 35
  31. 12
  32. 37
  33. 18
  34. 10
  35. 14
  36. 12
  37. 12
  38. 120
  39. 20
  40. 11

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