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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 277 · 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 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  2. 2.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 70 m and 290 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?
  4. 4.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  5. 5.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  6. 6.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  8. 8.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?
  9. 9.Two trains, 160 m and 390 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  16. 16.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 90 m and 225 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?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 64 km upstream and come back?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  21. 21.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)?
  22. 22.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  25. 25.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?
  26. 26.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  28. 28.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  29. 29.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  30. 30.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  31. 31.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  33. 33.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  36. 36.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  40. 40.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?

Answer key

  1. 150
  2. 14
  3. 12
  4. 9
  5. 270
  6. 550
  7. 14
  8. 22
  9. 11
  10. 425
  11. 13
  12. 23
  13. 8
  14. 4
  15. 450
  16. 23
  17. 9
  18. 10
  19. 30
  20. 21
  21. 5
  22. 19
  23. 4
  24. 22
  25. 12
  26. 4
  27. 625
  28. 120
  29. 23
  30. 31
  31. 3
  32. 27
  33. 9
  34. 4
  35. 120
  36. 6
  37. 20
  38. 4
  39. 290
  40. 240

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