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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 697 · 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 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  2. 2.Two trains, 250 m and 245 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?
  3. 3.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  4. 4.Two trains, 70 m and 50 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?
  5. 5.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 9 km upstream and come back?
  7. 7.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  8. 8.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  9. 9.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.Two trains, 70 m and 230 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?
  12. 12.Two trains, 50 m and 50 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?
  13. 13.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  14. 14.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 60 km upstream and come back?
  17. 17.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 54 km upstream and come back?
  19. 19.Two trains, 210 m and 90 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?
  20. 20.Two trains, 90 m and 405 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 train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  22. 22.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  27. 27.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  29. 29.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  30. 30.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 100 m and 100 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.Two trains, 80 m and 305 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?
  33. 33.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  34. 34.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  35. 35.Two trains, 250 m and 135 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?
  36. 36.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 119 km upstream and come back?
  40. 40.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?

Answer key

  1. 20
  2. 11
  3. 170
  4. 6
  5. 4
  6. 4
  7. 500
  8. 375
  9. 3
  10. 9
  11. 6
  12. 4
  13. 35
  14. 2
  15. 16
  16. 18
  17. 3
  18. 20
  19. 10
  20. 11
  21. 29
  22. 6
  23. 7
  24. 20
  25. 13
  26. 24
  27. 29
  28. 8
  29. 36
  30. 23
  31. 4
  32. 11
  33. 15
  34. 225
  35. 11
  36. 32
  37. 19
  38. 290
  39. 126
  40. 26

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