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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 943 · 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 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  2. 2.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  3. 3.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)?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  5. 5.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 100 m and 230 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?
  7. 7.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.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?
  9. 9.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  11. 11.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.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)?
  13. 13.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  17. 17.Two trains, 210 m and 270 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?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 16 km upstream and come back?
  19. 19.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  21. 21.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  25. 25.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  26. 26.Two trains, 100 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  27. 27.Two trains, 170 m and 110 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?
  28. 28.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  29. 29.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 160 m and 80 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?
  31. 31.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 100 m and 100 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?
  34. 34.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  35. 35.Two trains, 180 m and 120 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?
  36. 36.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  38. 38.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?

Answer key

  1. 28
  2. 9
  3. 1
  4. 18
  5. 1
  6. 11
  7. 2
  8. 12
  9. 29
  10. 330
  11. 22
  12. 2
  13. 2
  14. 15
  15. 3
  16. 42
  17. 12
  18. 9
  19. 21
  20. 17
  21. 9
  22. 20
  23. 12
  24. 23
  25. 200
  26. 4
  27. 8
  28. 700
  29. 17
  30. 8
  31. 2
  32. 3
  33. 5
  34. 15
  35. 6
  36. 280
  37. 15
  38. 19
  39. 21
  40. 180

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