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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 175 · 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 train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  4. 4.Two trains, 210 m and 105 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  6. 6.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  9. 9.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.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 120 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  12. 12.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 96 km upstream and come back?
  13. 13.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  16. 16.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 96 km upstream and come back?
  17. 17.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  23. 23.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.Two trains, 180 m and 120 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?
  25. 25.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.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 63 km upstream and come back?
  27. 27.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.Two trains, 210 m and 70 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?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  32. 32.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  33. 33.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)?
  34. 34.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.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 84 km upstream and come back?
  39. 39.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  40. 40.A boat goes 36 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)?

Answer key

  1. 26
  2. 4
  3. 26
  4. 9
  5. 700
  6. 9
  7. 4
  8. 10
  9. 23
  10. 42
  11. 260
  12. 56
  13. 5
  14. 24
  15. 16
  16. 16
  17. 2
  18. 22
  19. 2
  20. 27
  21. 240
  22. 10
  23. 225
  24. 10
  25. 16
  26. 30
  27. 15
  28. 675
  29. 70
  30. 8
  31. 21
  32. 22
  33. 16
  34. 4
  35. 1
  36. 23
  37. 11
  38. 35
  39. 20
  40. 14

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