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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 251 · 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 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  2. 2.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  4. 4.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  7. 7.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  13. 13.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  14. 14.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  17. 17.Two trains, 70 m and 130 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 train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  20. 20.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  21. 21.A boat goes 110 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)?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  25. 25.Two trains, 230 m and 50 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?
  26. 26.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  28. 28.Two trains, 180 m and 135 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?
  29. 29.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  30. 30.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  33. 33.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  34. 34.Two trains, 230 m and 210 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?
  35. 35.Two trains, 110 m and 240 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?
  36. 36.Two trains, 50 m and 100 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?
  37. 37.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  38. 38.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  39. 39.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  40. 40.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 22
  2. 13
  3. 31
  4. 23
  5. 33
  6. 18
  7. 1
  8. 90
  9. 3
  10. 240
  11. 3
  12. 22
  13. 450
  14. 24
  15. 9
  16. 300
  17. 5
  18. 165
  19. 39
  20. 255
  21. 18
  22. 6
  23. 22
  24. 36
  25. 8
  26. 7
  27. 10
  28. 9
  29. 16
  30. 23
  31. 4
  32. 64
  33. 11
  34. 11
  35. 10
  36. 6
  37. 8
  38. 200
  39. 17
  40. 1

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