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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 582 · 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 running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  4. 4.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 50 m and 170 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 boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  9. 9.Two trains, 240 m and 75 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  12. 12.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.Two trains, 80 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  15. 15.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  18. 18.Two trains, 50 m and 370 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?
  19. 19.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.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?
  21. 21.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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)?
  26. 26.A boat goes 32 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)?
  27. 27.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  28. 28.Two trains, 90 m and 110 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?
  29. 29.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  31. 31.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  32. 32.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  33. 33.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 60 m and 140 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?
  36. 36.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  40. 40.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 240
  2. 345
  3. 28
  4. 9
  5. 11
  6. 20
  7. 240
  8. 32
  9. 9
  10. 15
  11. 26
  12. 380
  13. 9
  14. 80
  15. 1
  16. 25
  17. 500
  18. 12
  19. 6
  20. 18
  21. 15
  22. 11
  23. 17
  24. 27
  25. 19
  26. 7
  27. 475
  28. 10
  29. 15
  30. 17
  31. 360
  32. 28
  33. 17
  34. 4
  35. 8
  36. 27
  37. 20
  38. 15
  39. 34
  40. 3

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