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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 290 · 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 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  2. 2.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 100 m and 100 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 train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  6. 6.Two trains, 180 m and 60 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?
  7. 7.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  8. 8.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  12. 12.Two trains, 180 m and 100 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?
  13. 13.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 30 km upstream and come back?
  14. 14.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 70 m and 425 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?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  17. 17.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  18. 18.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 70 m and 210 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?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 75 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)?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  24. 24.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  26. 26.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  29. 29.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  30. 30.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  31. 31.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 200 m and 80 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?
  33. 33.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  34. 34.Two trains, 80 m and 195 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 boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  36. 36.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  38. 38.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  39. 39.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  40. 40.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?

Answer key

  1. 40
  2. 12
  3. 6
  4. 10
  5. 60
  6. 6
  7. 19
  8. 3
  9. 4
  10. 21
  11. 520
  12. 8
  13. 16
  14. 1
  15. 11
  16. 28
  17. 375
  18. 7
  19. 5
  20. 8
  21. 17
  22. 10
  23. 22
  24. 11
  25. 300
  26. 29
  27. 9
  28. 31
  29. 240
  30. 28
  31. 7
  32. 8
  33. 17
  34. 11
  35. 27
  36. 12
  37. 34
  38. 20
  39. 29
  40. 22

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