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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 632 · 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, 180 m and 205 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?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  3. 3.Two trains, 170 m and 70 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?
  4. 4.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  6. 6.Two trains, 120 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?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  8. 8.Two trains, 230 m and 130 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?
  9. 9.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  11. 11.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  16. 16.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  18. 18.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  19. 19.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  20. 20.Two trains, 70 m and 50 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?
  21. 21.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  22. 22.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  25. 25.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.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?
  29. 29.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 60 m and 345 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?
  35. 35.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  36. 36.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 90 m and 270 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?
  38. 38.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  40. 40.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?

Answer key

  1. 11
  2. 22
  3. 8
  4. 7
  5. 41
  6. 6
  7. 28
  8. 12
  9. 225
  10. 20
  11. 15
  12. 375
  13. 5
  14. 11
  15. 11
  16. 2
  17. 340
  18. 24
  19. 32
  20. 4
  21. 23
  22. 13
  23. 17
  24. 12
  25. 2
  26. 10
  27. 16
  28. 50
  29. 8
  30. 8
  31. 17
  32. 30
  33. 9
  34. 9
  35. 400
  36. 1
  37. 12
  38. 34
  39. 27
  40. 40

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