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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 83 · 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 running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  2. 2.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  4. 4.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  5. 5.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 200 m and 200 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?
  8. 8.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  10. 10.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?
  11. 11.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 50 m and 200 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?
  18. 18.Two trains, 100 m and 380 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?
  19. 19.Two trains, 50 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?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  21. 21.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  22. 22.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  24. 24.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  25. 25.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  26. 26.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  28. 28.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  30. 30.Two trains, 80 m and 370 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?
  31. 31.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  32. 32.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  33. 33.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  34. 34.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 160 m and 190 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?
  36. 36.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  38. 38.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  40. 40.Two trains, 150 m and 70 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?

Answer key

  1. 180
  2. 7
  3. 270
  4. 700
  5. 26
  6. 18
  7. 10
  8. 200
  9. 6
  10. 20
  11. 21
  12. 16
  13. 4
  14. 1
  15. 280
  16. 12
  17. 10
  18. 12
  19. 5
  20. 42
  21. 23
  22. 240
  23. 16
  24. 10
  25. 41
  26. 375
  27. 35
  28. 550
  29. 375
  30. 10
  31. 33
  32. 23
  33. 24
  34. 3
  35. 10
  36. 22
  37. 23
  38. 37
  39. 450
  40. 11

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