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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 298 · 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 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  2. 2.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 50 m and 310 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?
  4. 4.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  7. 7.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  8. 8.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 72 km upstream and come back?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  11. 11.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  12. 12.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes 22 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)?
  15. 15.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.Two trains, 100 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  17. 17.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  18. 18.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.Two trains, 70 m and 50 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?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 90 m and 50 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?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  25. 25.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 85 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)?
  29. 29.Two trains, 80 m and 250 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?
  30. 30.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  31. 31.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?
  32. 32.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  34. 34.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  37. 37.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  38. 38.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)?
  39. 39.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?
  40. 40.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 40
  2. 5
  3. 12
  4. 6
  5. 5
  6. 33
  7. 20
  8. 9
  9. 22
  10. 16
  11. 26
  12. 18
  13. 7
  14. 9
  15. 27
  16. 8
  17. 24
  18. 15
  19. 7
  20. 165
  21. 6
  22. 8
  23. 4
  24. 12
  25. 2
  26. 6
  27. 28
  28. 13
  29. 11
  30. 12
  31. 55
  32. 7
  33. 26
  34. 26
  35. 12
  36. 35
  37. 40
  38. 3
  39. 14
  40. 9

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