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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 70 · 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 54 km/h. How many seconds does it take to cross a platform 360 m long?
  2. 2.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  3. 3.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  4. 4.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 150 m and 250 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?
  6. 6.Two trains, 60 m and 490 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?
  7. 7.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  8. 8.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 7 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?
  13. 13.Two trains, 240 m and 200 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?
  14. 14.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 110 m and 170 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?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  17. 17.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  18. 18.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 250 m and 290 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?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  24. 24.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  25. 25.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  26. 26.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.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 24 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  33. 33.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 150 m and 330 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?
  35. 35.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  36. 36.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.Two trains, 60 m and 215 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?
  38. 38.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?

Answer key

  1. 40
  2. 31
  3. 30
  4. 22
  5. 10
  6. 11
  7. 190
  8. 18
  9. 18
  10. 19
  11. 1
  12. 35
  13. 11
  14. 8
  15. 7
  16. 41
  17. 340
  18. 16
  19. 17
  20. 8
  21. 5
  22. 12
  23. 21
  24. 100
  25. 330
  26. 19
  27. 13
  28. 8
  29. 6
  30. 10
  31. 90
  32. 15
  33. 16
  34. 12
  35. 30
  36. 14
  37. 11
  38. 7
  39. 360
  40. 18

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