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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 865 · 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 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 90 m and 390 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  3. 3.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  8. 8.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  9. 9.Two trains, 60 m and 120 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?
  10. 10.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  12. 12.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  13. 13.Two trains, 180 m and 100 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?
  14. 14.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  15. 15.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  20. 20.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 120 m and 80 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?
  23. 23.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  25. 25.A boat goes 60 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)?
  26. 26.Two trains, 230 m and 50 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?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  30. 30.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.Two trains, 140 m and 60 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?
  32. 32.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.Two trains, 70 m and 50 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?
  36. 36.Two trains, 90 m and 190 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.Two trains, 200 m and 300 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?
  38. 38.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  39. 39.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  40. 40.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 28
  2. 12
  3. 4
  4. 30
  5. 100
  6. 220
  7. 38
  8. 230
  9. 4
  10. 600
  11. 13
  12. 20
  13. 7
  14. 450
  15. 25
  16. 24
  17. 27
  18. 21
  19. 31
  20. 19
  21. 12
  22. 8
  23. 2
  24. 32
  25. 19
  26. 7
  27. 5
  28. 10
  29. 26
  30. 325
  31. 10
  32. 250
  33. 26
  34. 22
  35. 4
  36. 8
  37. 10
  38. 25
  39. 30
  40. 19

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