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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 310 · 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.Two trains, 60 m and 255 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  2. 2.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)?
  3. 3.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.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?
  5. 5.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 90 m and 120 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?
  7. 7.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  9. 9.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  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 running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.Two trains, 130 m and 170 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  14. 14.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  15. 15.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  18. 18.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 99 km upstream and come back?
  23. 23.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  28. 28.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  33. 33.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 240 m and 60 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?
  36. 36.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 26 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)?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?

Answer key

  1. 9
  2. 9
  3. 39
  4. 90
  5. 2
  6. 7
  7. 5
  8. 140
  9. 5
  10. 16
  11. 90
  12. 12
  13. 16
  14. 23
  15. 1
  16. 14
  17. 390
  18. 7
  19. 27
  20. 2
  21. 19
  22. 44
  23. 8
  24. 12
  25. 16
  26. 11
  27. 26
  28. 6
  29. 50
  30. 26
  31. 275
  32. 625
  33. 14
  34. 22
  35. 6
  36. 24
  37. 2
  38. 2
  39. 12
  40. 32

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