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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 205 · 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 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 40 km upstream and come back?
  6. 6.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  7. 7.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  8. 8.Two trains, 120 m and 80 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?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  10. 10.A boat goes 36 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)?
  11. 11.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  12. 12.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.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)?
  14. 14.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  15. 15.Two trains, 50 m and 90 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?
  16. 16.A boat goes 27 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)?
  17. 17.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  19. 19.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.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?
  23. 23.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  24. 24.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 88 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.Two trains, 190 m and 80 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?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  28. 28.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  34. 34.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 28 km upstream and come back?
  35. 35.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  37. 37.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.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?
  40. 40.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?

Answer key

  1. 18
  2. 70
  3. 15
  4. 450
  5. 15
  6. 32
  7. 25
  8. 5
  9. 19
  10. 8
  11. 34
  12. 2
  13. 2
  14. 45
  15. 4
  16. 8
  17. 9
  18. 9
  19. 6
  20. 27
  21. 3
  22. 13
  23. 14
  24. 55
  25. 110
  26. 6
  27. 26
  28. 6
  29. 25
  30. 7
  31. 3
  32. 18
  33. 25
  34. 8
  35. 5
  36. 240
  37. 27
  38. 23
  39. 14
  40. 26

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