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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 45 · 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 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  6. 6.Two trains, 60 m and 90 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?
  7. 7.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.Two trains, 110 m and 65 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 30 km upstream and come back?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  12. 12.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  14. 14.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  17. 17.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?
  18. 18.A boat goes at 7 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?
  19. 19.A boat goes 20 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)?
  20. 20.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  21. 21.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.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 88 km upstream and come back?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  24. 24.Two trains, 160 m and 155 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.Two trains, 50 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?
  26. 26.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  29. 29.Two trains, 140 m and 110 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?
  30. 30.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.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 32 km upstream and come back?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  35. 35.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  36. 36.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?
  37. 37.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  40. 40.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 1
  2. 14
  3. 5
  4. 450
  5. 32
  6. 5
  7. 360
  8. 5
  9. 8
  10. 12
  11. 14
  12. 21
  13. 24
  14. 23
  15. 2
  16. 27
  17. 12
  18. 28
  19. 7
  20. 34
  21. 300
  22. 55
  23. 18
  24. 9
  25. 7
  26. 22
  27. 30
  28. 22
  29. 10
  30. 5
  31. 22
  32. 17
  33. 12
  34. 27
  35. 28
  36. 9
  37. 29
  38. 4
  39. 750
  40. 27

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