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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 145 · 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 boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 64 km upstream and come back?
  2. 2.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  3. 3.Two trains, 60 m and 255 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?
  4. 4.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 60 m and 180 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?
  7. 7.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  10. 10.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  16. 16.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  18. 18.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  19. 19.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  21. 21.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  22. 22.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  24. 24.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  27. 27.Two trains, 130 m and 270 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?
  28. 28.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  29. 29.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 50 m and 160 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?
  31. 31.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 32 km upstream and come back?
  32. 32.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 150 m and 270 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?
  35. 35.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  39. 39.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?

Answer key

  1. 24
  2. 21
  3. 9
  4. 19
  5. 8
  6. 6
  7. 6
  8. 270
  9. 400
  10. 4
  11. 180
  12. 1
  13. 20
  14. 11
  15. 23
  16. 100
  17. 30
  18. 27
  19. 27
  20. 34
  21. 220
  22. 23
  23. 25
  24. 9
  25. 2
  26. 32
  27. 10
  28. 8
  29. 3
  30. 7
  31. 10
  32. 25
  33. 2
  34. 12
  35. 13
  36. 280
  37. 11
  38. 21
  39. 12
  40. 26

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