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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 421 · 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, 160 m and 140 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?
  2. 2.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  3. 3.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.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)?
  6. 6.Two trains, 60 m and 115 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?
  7. 7.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  8. 8.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?
  9. 9.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  12. 12.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.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 108 km upstream and come back?
  14. 14.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A train 130 m long runs at 36 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 24 seconds. How long is the train (in metres)?
  21. 21.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  22. 22.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.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?
  24. 24.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  25. 25.Two trains, 150 m and 330 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 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  29. 29.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  30. 30.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  32. 32.Two trains, 140 m and 260 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?
  33. 33.Two trains, 70 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?
  34. 34.Two trains, 90 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 120 m and 80 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?
  37. 37.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  38. 38.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 120 m and 160 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?
  40. 40.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 10
  2. 20
  3. 22
  4. 18
  5. 1
  6. 7
  7. 32
  8. 20
  9. 29
  10. 22
  11. 20
  12. 3
  13. 36
  14. 3
  15. 1
  16. 5
  17. 19
  18. 16
  19. 13
  20. 360
  21. 120
  22. 105
  23. 12
  24. 285
  25. 12
  26. 8
  27. 6
  28. 37
  29. 22
  30. 18
  31. 12
  32. 8
  33. 7
  34. 10
  35. 11
  36. 4
  37. 30
  38. 2
  39. 7
  40. 13

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