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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 313 · 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 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  2. 2.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  5. 5.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  7. 7.A boat goes 80 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)?
  8. 8.Two trains, 90 m and 190 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?
  9. 9.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.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)?
  15. 15.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  16. 16.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  17. 17.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  18. 18.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  22. 22.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  27. 27.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.Two trains, 100 m and 140 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?
  29. 29.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  32. 32.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  34. 34.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  37. 37.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  39. 39.A boat goes 60 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)?
  40. 40.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)?

Answer key

  1. 450
  2. 24
  3. 260
  4. 30
  5. 27
  6. 35
  7. 18
  8. 8
  9. 5
  10. 22
  11. 30
  12. 36
  13. 10
  14. 3
  15. 29
  16. 27
  17. 33
  18. 195
  19. 25
  20. 16
  21. 20
  22. 5
  23. 475
  24. 575
  25. 160
  26. 19
  27. 250
  28. 6
  29. 150
  30. 275
  31. 34
  32. 2
  33. 29
  34. 3
  35. 29
  36. 5
  37. 4
  38. 125
  39. 12
  40. 6

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