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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 448 · 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 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  3. 3.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  4. 4.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  6. 6.Two trains, 160 m and 245 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  7. 7.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  12. 12.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  13. 13.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  17. 17.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 16 km upstream and come back?
  19. 19.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  20. 20.Two trains, 200 m and 205 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  22. 22.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  23. 23.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.Two trains, 50 m and 125 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  25. 25.A boat goes 95 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)?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  27. 27.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  28. 28.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  30. 30.Two trains, 100 m and 285 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  32. 32.Two trains, 190 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  35. 35.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 100 m and 250 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  38. 38.Two trains, 170 m and 70 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?
  39. 39.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.Two trains, 180 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 19
  2. 31
  3. 360
  4. 80
  5. 22
  6. 9
  7. 75
  8. 16
  9. 20
  10. 8
  11. 32
  12. 45
  13. 24
  14. 140
  15. 14
  16. 31
  17. 460
  18. 10
  19. 7
  20. 9
  21. 19
  22. 28
  23. 2
  24. 7
  25. 18
  26. 25
  27. 20
  28. 375
  29. 40
  30. 11
  31. 140
  32. 10
  33. 10
  34. 40
  35. 17
  36. 2
  37. 10
  38. 12
  39. 575
  40. 10

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