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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 980 · 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 boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  7. 7.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  8. 8.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  9. 9.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 75 km upstream and come back?
  10. 10.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  11. 11.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  13. 13.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  14. 14.Two trains, 70 m and 110 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?
  15. 15.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 110 m and 65 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 boat goes 42 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)?
  19. 19.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  20. 20.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  21. 21.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  23. 23.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 120 m and 360 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?
  25. 25.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  27. 27.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  31. 31.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  32. 32.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  39. 39.Two trains, 220 m and 130 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  40. 40.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?

Answer key

  1. 4
  2. 20
  3. 23
  4. 11
  5. 9
  6. 300
  7. 42
  8. 17
  9. 30
  10. 31
  11. 580
  12. 40
  13. 26
  14. 9
  15. 28
  16. 9
  17. 5
  18. 19
  19. 42
  20. 325
  21. 33
  22. 20
  23. 24
  24. 12
  25. 440
  26. 15
  27. 15
  28. 18
  29. 26
  30. 21
  31. 36
  32. 240
  33. 15
  34. 16
  35. 25
  36. 90
  37. 13
  38. 22
  39. 10
  40. 14

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