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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 167 · 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 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 160 m and 200 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  4. 4.A boat goes 48 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)?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  6. 6.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  7. 7.Two trains, 170 m and 160 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?
  8. 8.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  9. 9.A boat goes at 5 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?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.Two trains, 100 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?
  12. 12.Two trains, 170 m and 130 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?
  13. 13.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.Two trains, 200 m and 295 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?
  20. 20.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  22. 22.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  23. 23.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  24. 24.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  30. 30.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  31. 31.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  35. 35.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  36. 36.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  37. 37.Two trains, 110 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?
  38. 38.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  40. 40.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?

Answer key

  1. 2
  2. 11
  3. 12
  4. 11
  5. 54
  6. 24
  7. 11
  8. 16
  9. 50
  10. 16
  11. 8
  12. 10
  13. 360
  14. 16
  15. 14
  16. 250
  17. 25
  18. 13
  19. 11
  20. 26
  21. 42
  22. 26
  23. 280
  24. 22
  25. 23
  26. 580
  27. 100
  28. 8
  29. 27
  30. 40
  31. 105
  32. 16
  33. 22
  34. 15
  35. 175
  36. 120
  37. 8
  38. 9
  39. 26
  40. 600

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