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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 504 · 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 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 80 m and 100 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?
  4. 4.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  5. 5.Two trains, 60 m and 120 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?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  7. 7.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  8. 8.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  12. 12.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  13. 13.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  14. 14.Two trains, 210 m and 190 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 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  17. 17.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 81 km upstream and come back?
  19. 19.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  21. 21.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  24. 24.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  28. 28.Two trains, 220 m and 100 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?
  29. 29.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  32. 32.Two trains, 70 m and 370 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?
  33. 33.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 140 m and 175 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?
  35. 35.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  39. 39.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 10
  2. 3
  3. 9
  4. 29
  5. 9
  6. 27
  7. 14
  8. 50
  9. 36
  10. 150
  11. 22
  12. 28
  13. 32
  14. 10
  15. 27
  16. 18
  17. 750
  18. 12
  19. 21
  20. 13
  21. 5
  22. 400
  23. 300
  24. 24
  25. 14
  26. 360
  27. 180
  28. 8
  29. 6
  30. 165
  31. 260
  32. 11
  33. 2
  34. 9
  35. 19
  36. 13
  37. 11
  38. 17
  39. 17
  40. 3

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