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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 729 · 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, 90 m and 160 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?
  2. 2.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  8. 8.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  9. 9.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  10. 10.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  13. 13.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 120 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?
  15. 15.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 108 km upstream and come back?
  17. 17.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  18. 18.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  20. 20.Two trains, 50 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?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  22. 22.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  23. 23.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 56 km upstream and come back?
  27. 27.A boat goes 60 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)?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  29. 29.A boat goes 28 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)?
  30. 30.A boat goes 30 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)?
  31. 31.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  32. 32.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 160 m and 140 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?
  36. 36.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  40. 40.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 360
  3. 26
  4. 1
  5. 27
  6. 11
  7. 35
  8. 32
  9. 190
  10. 4
  11. 18
  12. 28
  13. 2
  14. 10
  15. 31
  16. 63
  17. 13
  18. 30
  19. 250
  20. 4
  21. 24
  22. 25
  23. 13
  24. 5
  25. 31
  26. 16
  27. 12
  28. 27
  29. 12
  30. 11
  31. 34
  32. 16
  33. 22
  34. 11
  35. 10
  36. 40
  37. 18
  38. 10
  39. 23
  40. 675

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