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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 915 · 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 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  3. 3.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  4. 4.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 80 m and 270 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?
  9. 9.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  10. 10.Two trains, 70 m and 370 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?
  11. 11.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  13. 13.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  14. 14.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  16. 16.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 70 m and 140 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?
  18. 18.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  19. 19.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  22. 22.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  23. 23.Two trains, 100 m and 120 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?
  24. 24.Two trains, 90 m and 120 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?
  25. 25.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  28. 28.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 120 m and 80 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?
  30. 30.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.Two trains, 130 m and 50 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?
  35. 35.Two trains, 160 m and 200 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?
  36. 36.Two trains, 120 m and 420 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?
  37. 37.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 90
  2. 28
  3. 315
  4. 1
  5. 26
  6. 14
  7. 13
  8. 10
  9. 36
  10. 11
  11. 19
  12. 375
  13. 30
  14. 10
  15. 15
  16. 20
  17. 6
  18. 210
  19. 19
  20. 31
  21. 110
  22. 255
  23. 11
  24. 6
  25. 650
  26. 17
  27. 10
  28. 20
  29. 5
  30. 23
  31. 30
  32. 7
  33. 120
  34. 4
  35. 9
  36. 12
  37. 11
  38. 550
  39. 18
  40. 13

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