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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 304 · 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, 120 m and 420 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?
  2. 2.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  3. 3.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  7. 7.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  8. 8.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  9. 9.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 200 m and 50 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?
  14. 14.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  15. 15.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  17. 17.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  19. 19.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 70 m and 105 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?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  25. 25.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 130 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 28 km upstream and come back?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  33. 33.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  36. 36.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A boat goes 80 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  39. 39.Two trains, 80 m and 100 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?
  40. 40.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 12
  2. 15
  3. 425
  4. 24
  5. 13
  6. 16
  7. 32
  8. 19
  9. 420
  10. 22
  11. 10
  12. 19
  13. 10
  14. 19
  15. 7
  16. 525
  17. 130
  18. 75
  19. 29
  20. 1
  21. 7
  22. 16
  23. 200
  24. 360
  25. 20
  26. 5
  27. 10
  28. 8
  29. 120
  30. 36
  31. 15
  32. 29
  33. 4
  34. 11
  35. 320
  36. 700
  37. 3
  38. 260
  39. 6
  40. 6

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