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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 686 · 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 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  4. 4.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 60 km upstream and come back?
  7. 7.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 120 km upstream and come back?
  8. 8.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  11. 11.Two trains, 110 m and 100 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?
  12. 12.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  13. 13.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  17. 17.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  20. 20.Two trains, 90 m and 180 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?
  21. 21.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  23. 23.Two trains, 80 m and 95 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?
  24. 24.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.Two trains, 160 m and 80 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?
  28. 28.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 56 km upstream and come back?
  29. 29.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 60 m and 80 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?
  31. 31.Two trains, 90 m and 360 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?
  32. 32.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  34. 34.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  35. 35.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  36. 36.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.A boat goes 44 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)?
  38. 38.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  39. 39.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?

Answer key

  1. 15
  2. 1
  3. 28
  4. 5
  5. 30
  6. 32
  7. 45
  8. 480
  9. 48
  10. 260
  11. 6
  12. 500
  13. 15
  14. 26
  15. 675
  16. 580
  17. 19
  18. 24
  19. 24
  20. 9
  21. 15
  22. 32
  23. 5
  24. 25
  25. 22
  26. 12
  27. 12
  28. 35
  29. 11
  30. 7
  31. 9
  32. 420
  33. 30
  34. 75
  35. 39
  36. 255
  37. 10
  38. 315
  39. 20
  40. 20

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