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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 402 · 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 running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  2. 2.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  4. 4.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  7. 7.A boat goes 40 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)?
  8. 8.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?
  9. 9.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  11. 11.Two trains, 250 m and 50 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?
  12. 12.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  13. 13.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  15. 15.A boat goes 90 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)?
  16. 16.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  19. 19.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 60 m and 300 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?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 190 m and 170 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?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  25. 25.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  26. 26.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?
  27. 27.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  30. 30.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  32. 32.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  37. 37.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.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 45 km upstream and come back?

Answer key

  1. 250
  2. 11
  3. 290
  4. 9
  5. 8
  6. 400
  7. 7
  8. 27
  9. 14
  10. 420
  11. 10
  12. 9
  13. 350
  14. 24
  15. 16
  16. 9
  17. 14
  18. 19
  19. 21
  20. 12
  21. 6
  22. 12
  23. 18
  24. 120
  25. 31
  26. 55
  27. 21
  28. 1
  29. 13
  30. 13
  31. 24
  32. 30
  33. 1
  34. 8
  35. 3
  36. 21
  37. 1
  38. 240
  39. 12
  40. 48

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