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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 927 · 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 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  3. 3.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.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 56 km upstream and come back?
  5. 5.Two trains, 70 m and 155 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?
  6. 6.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  8. 8.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 80 m and 170 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?
  13. 13.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 50 m and 355 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?
  15. 15.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 120 m and 60 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?
  20. 20.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?
  21. 21.Two trains, 110 m and 340 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?
  22. 22.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  26. 26.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  28. 28.Two trains, 130 m and 270 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?
  29. 29.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 70 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  35. 35.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 190 m and 110 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?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  38. 38.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (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 90 m long?
  40. 40.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 120
  3. 12
  4. 32
  5. 5
  6. 13
  7. 180
  8. 14
  9. 19
  10. 6
  11. 24
  12. 10
  13. 10
  14. 9
  15. 1
  16. 19
  17. 10
  18. 4
  19. 9
  20. 22
  21. 10
  22. 5
  23. 4
  24. 18
  25. 460
  26. 10
  27. 90
  28. 10
  29. 18
  30. 27
  31. 6
  32. 36
  33. 5
  34. 11
  35. 16
  36. 10
  37. 42
  38. 20
  39. 16
  40. 20

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