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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 631 · 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 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  2. 2.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)?
  3. 3.Two trains, 60 m and 185 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?
  4. 4.A boat goes 60 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)?
  5. 5.A boat goes 52 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)?
  6. 6.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.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 21 km upstream and come back?
  8. 8.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 190 m and 85 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?
  12. 12.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 210 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 at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  19. 19.Two trains, 120 m and 230 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?
  20. 20.Two trains, 220 m and 220 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?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  22. 22.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  24. 24.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  29. 29.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  30. 30.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  32. 32.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  33. 33.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  36. 36.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 70 m and 50 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?
  38. 38.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  40. 40.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 26
  2. 1
  3. 7
  4. 14
  5. 12
  6. 5
  7. 10
  8. 30
  9. 2
  10. 3
  11. 11
  12. 24
  13. 39
  14. 20
  15. 7
  16. 13
  17. 30
  18. 460
  19. 10
  20. 11
  21. 12
  22. 6
  23. 23
  24. 600
  25. 110
  26. 6
  27. 18
  28. 39
  29. 29
  30. 54
  31. 230
  32. 21
  33. 200
  34. 15
  35. 21
  36. 14
  37. 6
  38. 3
  39. 31
  40. 4

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