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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 386 · 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 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  3. 3.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  6. 6.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  7. 7.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  8. 8.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  9. 9.Two trains, 130 m and 95 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?
  10. 10.Two trains, 150 m and 165 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?
  11. 11.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  13. 13.Two trains, 70 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?
  14. 14.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 108 km upstream and come back?
  15. 15.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  19. 19.Two trains, 90 m and 360 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?
  20. 20.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 220 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  22. 22.A boat goes 54 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)?
  23. 23.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  24. 24.Two trains, 80 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  25. 25.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 84 km upstream and come back?
  27. 27.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  28. 28.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 90 m and 180 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?
  30. 30.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 75 km upstream and come back?
  33. 33.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.Two trains, 90 m and 160 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?
  35. 35.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  36. 36.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  37. 37.Two trains, 170 m and 55 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?
  38. 38.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  39. 39.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 21
  2. 19
  3. 20
  4. 16
  5. 16
  6. 20
  7. 14
  8. 30
  9. 5
  10. 7
  11. 450
  12. 12
  13. 7
  14. 15
  15. 700
  16. 14
  17. 580
  18. 33
  19. 10
  20. 3
  21. 10
  22. 16
  23. 39
  24. 9
  25. 325
  26. 48
  27. 120
  28. 1
  29. 9
  30. 27
  31. 29
  32. 18
  33. 32
  34. 10
  35. 37
  36. 28
  37. 9
  38. 22
  39. 575
  40. 7

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