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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 380 · 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 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  2. 2.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  3. 3.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  4. 4.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  5. 5.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.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 40 km upstream and come back?
  7. 7.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 50 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  11. 11.Two trains, 130 m and 140 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?
  12. 12.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 50 m and 390 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?
  16. 16.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?
  17. 17.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 190 m and 110 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?
  19. 19.Two trains, 70 m and 140 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?
  20. 20.Two trains, 200 m and 185 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?
  21. 21.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  22. 22.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  27. 27.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  29. 29.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.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)?
  31. 31.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  33. 33.Two trains, 250 m and 65 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?
  34. 34.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)?
  35. 35.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  36. 36.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  37. 37.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 170 m and 180 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  39. 39.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?
  40. 40.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?

Answer key

  1. 10
  2. 20
  3. 350
  4. 360
  5. 7
  6. 25
  7. 17
  8. 3
  9. 5
  10. 68
  11. 9
  12. 425
  13. 1
  14. 8
  15. 11
  16. 22
  17. 16
  18. 12
  19. 7
  20. 11
  21. 36
  22. 2
  23. 23
  24. 540
  25. 23
  26. 18
  27. 5
  28. 13
  29. 21
  30. 2
  31. 10
  32. 260
  33. 9
  34. 18
  35. 41
  36. 325
  37. 5
  38. 10
  39. 14
  40. 400

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