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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 700 · 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 running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  2. 2.Two trains, 120 m and 280 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?
  3. 3.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 160 m and 140 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?
  6. 6.Two trains, 160 m and 155 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?
  7. 7.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  9. 9.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  11. 11.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  15. 15.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  18. 18.Two trains, 60 m and 290 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?
  19. 19.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.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?
  21. 21.A boat goes 80 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)?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  25. 25.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  26. 26.Two trains, 60 m and 240 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?
  27. 27.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 200 m and 80 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?
  31. 31.Two trains, 100 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  33. 33.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  34. 34.Two trains, 50 m and 335 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?
  35. 35.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  36. 36.Two trains, 50 m and 70 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?
  37. 37.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  38. 38.Two trains, 190 m and 50 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?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  40. 40.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 130
  2. 10
  3. 285
  4. 11
  5. 6
  6. 9
  7. 13
  8. 8
  9. 50
  10. 15
  11. 11
  12. 1
  13. 13
  14. 275
  15. 20
  16. 20
  17. 10
  18. 10
  19. 28
  20. 12
  21. 15
  22. 16
  23. 165
  24. 26
  25. 60
  26. 12
  27. 5
  28. 10
  29. 5
  30. 7
  31. 10
  32. 16
  33. 15
  34. 11
  35. 29
  36. 6
  37. 30
  38. 6
  39. 30
  40. 9

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