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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 48 · 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 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 230 m and 120 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?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 9 km upstream and come back?
  6. 6.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)?
  7. 7.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.Two trains, 110 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  10. 10.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  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 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  14. 14.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  15. 15.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  18. 18.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  23. 23.Two trains, 50 m and 335 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?
  24. 24.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.Two trains, 110 m and 290 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?
  28. 28.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.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 36 km upstream and come back?
  30. 30.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  31. 31.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 104 km upstream and come back?
  34. 34.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  36. 36.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 110 m and 50 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?
  38. 38.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  40. 40.A boat goes at 13 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?

Answer key

  1. 8
  2. 320
  3. 27
  4. 7
  5. 10
  6. 4
  7. 4
  8. 6
  9. 42
  10. 300
  11. 21
  12. 8
  13. 28
  14. 44
  15. 18
  16. 7
  17. 290
  18. 3
  19. 11
  20. 18
  21. 3
  22. 22
  23. 11
  24. 35
  25. 340
  26. 20
  27. 8
  28. 14
  29. 12
  30. 39
  31. 525
  32. 90
  33. 112
  34. 100
  35. 550
  36. 24
  37. 4
  38. 2
  39. 35
  40. 13

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