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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 186 · 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 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.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 84 km upstream and come back?
  4. 4.Two trains, 50 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  5. 5.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  6. 6.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  8. 8.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 60 km upstream and come back?
  9. 9.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.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)?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 60 km upstream and come back?
  13. 13.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  15. 15.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  17. 17.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  18. 18.Two trains, 90 m and 230 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?
  19. 19.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 36 km upstream and come back?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 64 km upstream and come back?
  21. 21.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  22. 22.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 190 m and 260 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?
  24. 24.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?
  25. 25.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  29. 29.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  31. 31.Two trains, 150 m and 255 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.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?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  34. 34.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  36. 36.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  38. 38.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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 9 km upstream and come back?

Answer key

  1. 12
  2. 13
  3. 27
  4. 4
  5. 600
  6. 90
  7. 14
  8. 25
  9. 2
  10. 1
  11. 40
  12. 33
  13. 27
  14. 36
  15. 9
  16. 280
  17. 420
  18. 8
  19. 20
  20. 40
  21. 16
  22. 20
  23. 9
  24. 10
  25. 10
  26. 19
  27. 14
  28. 325
  29. 5
  30. 22
  31. 9
  32. 32
  33. 24
  34. 5
  35. 520
  36. 2
  37. 460
  38. 8
  39. 16
  40. 10

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