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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 101 · 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, 170 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  2. 2.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  4. 4.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  5. 5.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  6. 6.A boat goes 40 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)?
  7. 7.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  9. 9.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  12. 12.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  13. 13.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  15. 15.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  16. 16.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  17. 17.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  18. 18.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 230 m and 70 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?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 104 km upstream and come back?
  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 80 km upstream and come back?
  24. 24.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 90 m and 50 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?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  28. 28.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 220 m and 140 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?
  30. 30.A train 350 m long runs at 90 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 21 seconds. How long is the train (in metres)?
  32. 32.Two trains, 70 m and 260 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?
  33. 33.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  36. 36.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  37. 37.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  40. 40.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 21 km upstream and come back?

Answer key

  1. 6
  2. 225
  3. 32
  4. 29
  5. 30
  6. 15
  7. 13
  8. 24
  9. 24
  10. 24
  11. 43
  12. 10
  13. 18
  14. 21
  15. 26
  16. 38
  17. 29
  18. 13
  19. 5
  20. 6
  21. 11
  22. 56
  23. 30
  24. 20
  25. 6
  26. 4
  27. 10
  28. 10
  29. 8
  30. 14
  31. 525
  32. 11
  33. 120
  34. 4
  35. 26
  36. 23
  37. 1
  38. 7
  39. 21
  40. 10

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