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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 170 · 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 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  4. 4.A boat goes 36 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)?
  5. 5.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  6. 6.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  7. 7.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  11. 11.Two trains, 50 m and 190 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?
  12. 12.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  15. 15.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  16. 16.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.Two trains, 60 m and 80 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?
  18. 18.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 80 m and 130 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?
  20. 20.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.Two trains, 150 m and 150 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?
  22. 22.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  24. 24.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  25. 25.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?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  27. 27.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 72 km upstream and come back?
  31. 31.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  32. 32.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 160 m and 190 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?
  34. 34.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 80 m and 80 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?
  36. 36.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  37. 37.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  39. 39.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.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 80 km upstream and come back?

Answer key

  1. 18
  2. 225
  3. 35
  4. 17
  5. 80
  6. 22
  7. 90
  8. 4
  9. 26
  10. 120
  11. 6
  12. 10
  13. 110
  14. 18
  15. 20
  16. 220
  17. 4
  18. 3
  19. 6
  20. 180
  21. 12
  22. 30
  23. 22
  24. 260
  25. 10
  26. 31
  27. 3
  28. 11
  29. 5
  30. 40
  31. 90
  32. 20
  33. 10
  34. 5
  35. 4
  36. 500
  37. 19
  38. 33
  39. 41
  40. 28

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