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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 607 · 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.Two trains, 90 m and 50 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 140 m and 160 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?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  5. 5.Two trains, 130 m and 310 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?
  6. 6.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  8. 8.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  9. 9.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  11. 11.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  13. 13.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 190 m and 360 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?
  15. 15.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  16. 16.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  17. 17.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  18. 18.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  19. 19.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  20. 20.Two trains, 80 m and 190 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?
  21. 21.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 150 m and 235 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?
  23. 23.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  25. 25.A train 375 m long runs at 54 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 10 seconds. How long is the train (in metres)?
  27. 27.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  28. 28.Two trains, 90 m and 260 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  29. 29.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  32. 32.Two trains, 60 m and 180 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?
  33. 33.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  34. 34.Two trains, 60 m and 60 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?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 81 km upstream and come back?
  36. 36.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  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 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?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  40. 40.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?

Answer key

  1. 4
  2. 7
  3. 12
  4. 24
  5. 11
  6. 29
  7. 12
  8. 33
  9. 34
  10. 26
  11. 12
  12. 27
  13. 6
  14. 11
  15. 31
  16. 400
  17. 27
  18. 26
  19. 280
  20. 6
  21. 1
  22. 11
  23. 5
  24. 42
  25. 25
  26. 200
  27. 500
  28. 10
  29. 28
  30. 100
  31. 36
  32. 8
  33. 90
  34. 4
  35. 84
  36. 10
  37. 10
  38. 50
  39. 40
  40. 480

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