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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 433 · 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 boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  3. 3.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  4. 4.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  7. 7.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  10. 10.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  13. 13.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?
  14. 14.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 60 m and 115 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?
  16. 16.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  21. 21.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  23. 23.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 120 km upstream and come back?
  24. 24.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  25. 25.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  29. 29.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  31. 31.Two trains, 250 m and 135 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?
  32. 32.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  34. 34.Two trains, 50 m and 175 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?
  35. 35.Two trains, 230 m and 100 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 train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  37. 37.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 120 m and 80 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?
  39. 39.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 22
  2. 26
  3. 19
  4. 4
  5. 4
  6. 32
  7. 75
  8. 33
  9. 36
  10. 16
  11. 2
  12. 26
  13. 9
  14. 27
  15. 7
  16. 5
  17. 30
  18. 4
  19. 12
  20. 50
  21. 360
  22. 40
  23. 75
  24. 20
  25. 240
  26. 16
  27. 23
  28. 33
  29. 27
  30. 8
  31. 11
  32. 1
  33. 70
  34. 9
  35. 11
  36. 22
  37. 7
  38. 8
  39. 3
  40. 4

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