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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 416 · 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 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 100 m and 170 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?
  3. 3.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  5. 5.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  7. 7.Two trains, 70 m and 90 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?
  8. 8.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 120 m and 375 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?
  10. 10.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.Two trains, 190 m and 170 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?
  13. 13.Two trains, 200 m and 130 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?
  14. 14.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 180 m and 90 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?
  16. 16.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  20. 20.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  27. 27.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  31. 31.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  33. 33.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.Two trains, 110 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  36. 36.Two trains, 90 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.Two trains, 90 m and 350 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?
  38. 38.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  39. 39.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?
  40. 40.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?

Answer key

  1. 14
  2. 6
  3. 13
  4. 160
  5. 7
  6. 220
  7. 8
  8. 8
  9. 11
  10. 21
  11. 13
  12. 12
  13. 11
  14. 7
  15. 9
  16. 80
  17. 2
  18. 4
  19. 320
  20. 500
  21. 20
  22. 24
  23. 16
  24. 2
  25. 17
  26. 24
  27. 2
  28. 1
  29. 75
  30. 350
  31. 12
  32. 27
  33. 280
  34. 10
  35. 108
  36. 8
  37. 11
  38. 60
  39. 12
  40. 34

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