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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 291 · 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 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  3. 3.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.Two trains, 130 m and 200 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?
  7. 7.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  8. 8.Two trains, 80 m and 80 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?
  9. 9.Two trains, 100 m and 180 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?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 14 km upstream and come back?
  11. 11.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  12. 12.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 39 km upstream and come back?
  14. 14.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 160 m and 80 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?
  16. 16.Two trains, 200 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?
  17. 17.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  22. 22.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  24. 24.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 24 km upstream and come back?
  26. 26.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 110 m and 250 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?
  28. 28.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  30. 30.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  31. 31.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.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?
  35. 35.Two trains, 100 m and 50 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?
  36. 36.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.Two trains, 150 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?
  40. 40.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 7
  2. 41
  3. 32
  4. 5
  5. 135
  6. 11
  7. 38
  8. 8
  9. 8
  10. 8
  11. 18
  12. 120
  13. 42
  14. 19
  15. 12
  16. 11
  17. 80
  18. 280
  19. 26
  20. 17
  21. 29
  22. 4
  23. 12
  24. 35
  25. 4
  26. 20
  27. 12
  28. 50
  29. 22
  30. 270
  31. 37
  32. 5
  33. 2
  34. 5
  35. 5
  36. 4
  37. 28
  38. 10
  39. 10
  40. 3

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