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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 699 · 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 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  3. 3.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 90 m and 225 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  8. 8.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  15. 15.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 150 m and 125 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?
  17. 17.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  18. 18.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  19. 19.Two trains, 130 m and 320 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  21. 21.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  22. 22.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  23. 23.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 23 km upstream and come back?
  29. 29.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.Two trains, 150 m and 90 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?
  31. 31.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 95 km upstream and come back?
  38. 38.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?

Answer key

  1. 30
  2. 90
  3. 7
  4. 7
  5. 21
  6. 3
  7. 27
  8. 22
  9. 200
  10. 30
  11. 2
  12. 5
  13. 9
  14. 15
  15. 2
  16. 11
  17. 24
  18. 30
  19. 10
  20. 20
  21. 6
  22. 34
  23. 3
  24. 1
  25. 6
  26. 10
  27. 260
  28. 24
  29. 120
  30. 6
  31. 19
  32. 10
  33. 9
  34. 9
  35. 15
  36. 28
  37. 100
  38. 6
  39. 27
  40. 35

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