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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 869 · 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, 120 m and 125 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?
  2. 2.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 81 km upstream and come back?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  4. 4.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  6. 6.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.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 63 km upstream and come back?
  8. 8.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 70 m and 170 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?
  11. 11.Two trains, 130 m and 145 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?
  12. 12.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.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 84 km upstream and come back?
  15. 15.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 24 km upstream and come back?
  16. 16.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  17. 17.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  18. 18.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  21. 21.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  22. 22.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  24. 24.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  26. 26.Two trains, 100 m and 215 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?
  27. 27.Two trains, 240 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  29. 29.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 108 km upstream and come back?
  31. 31.Two trains, 180 m and 170 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?
  32. 32.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?
  33. 33.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  36. 36.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  37. 37.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.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?
  39. 39.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 7
  2. 90
  3. 16
  4. 12
  5. 30
  6. 8
  7. 70
  8. 20
  9. 2
  10. 12
  11. 11
  12. 420
  13. 16
  14. 27
  15. 15
  16. 30
  17. 100
  18. 27
  19. 19
  20. 13
  21. 24
  22. 8
  23. 580
  24. 8
  25. 28
  26. 7
  27. 10
  28. 475
  29. 140
  30. 112
  31. 10
  32. 45
  33. 8
  34. 9
  35. 200
  36. 12
  37. 2
  38. 6
  39. 70
  40. 12

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