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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 41 · 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 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  4. 4.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  5. 5.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  7. 7.Two trains, 70 m and 105 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?
  8. 8.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  10. 10.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  13. 13.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  14. 14.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 19 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  17. 17.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 100 m and 140 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?
  21. 21.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  23. 23.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  24. 24.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 114 km upstream and come back?
  26. 26.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.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)?
  30. 30.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 90 m and 110 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?
  34. 34.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 13 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?
  37. 37.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  38. 38.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  39. 39.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)?
  40. 40.Two trains, 200 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 5
  2. 340
  3. 128
  4. 33
  5. 105
  6. 34
  7. 5
  8. 11
  9. 20
  10. 14
  11. 5
  12. 14
  13. 43
  14. 16
  15. 580
  16. 19
  17. 120
  18. 20
  19. 15
  20. 6
  21. 600
  22. 34
  23. 32
  24. 10
  25. 120
  26. 140
  27. 20
  28. 7
  29. 2
  30. 1
  31. 150
  32. 28
  33. 10
  34. 25
  35. 125
  36. 13
  37. 300
  38. 375
  39. 4
  40. 9

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