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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 327 · 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 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  7. 7.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?
  8. 8.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 33 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)?
  11. 11.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  13. 13.A boat goes 24 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)?
  14. 14.Two trains, 180 m and 100 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?
  15. 15.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.Two trains, 200 m and 100 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?
  17. 17.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 140 m and 260 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?
  19. 19.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  22. 22.Two trains, 50 m and 110 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?
  23. 23.Two trains, 160 m and 50 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?
  24. 24.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  25. 25.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  26. 26.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?
  27. 27.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 105 km upstream and come back?
  30. 30.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.Two trains, 50 m and 70 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?
  32. 32.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  33. 33.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  34. 34.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 70 m and 130 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?
  36. 36.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 14
  2. 19
  3. 24
  4. 19
  5. 13
  6. 43
  7. 18
  8. 2
  9. 7
  10. 9
  11. 10
  12. 15
  13. 11
  14. 7
  15. 540
  16. 10
  17. 27
  18. 10
  19. 7
  20. 23
  21. 31
  22. 4
  23. 7
  24. 160
  25. 23
  26. 42
  27. 1
  28. 135
  29. 24
  30. 10
  31. 4
  32. 5
  33. 38
  34. 16
  35. 5
  36. 125
  37. 15
  38. 2
  39. 9
  40. 7

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