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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 336 · 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 boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  4. 4.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  6. 6.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 108 km upstream and come back?
  8. 8.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.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?
  12. 12.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  13. 13.Two trains, 50 m and 190 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?
  14. 14.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 190 m and 50 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?
  16. 16.Two trains, 130 m and 90 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?
  17. 17.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 20 km upstream and come back?
  20. 20.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.Two trains, 60 m and 290 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?
  22. 22.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  23. 23.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  24. 24.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.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 96 km upstream and come back?
  26. 26.Two trains, 200 m and 120 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?
  27. 27.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  28. 28.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 170 m and 145 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?
  31. 31.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 140 m and 140 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?
  33. 33.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  36. 36.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 50 m and 130 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?
  38. 38.Two trains, 60 m and 90 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?
  39. 39.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 2
  2. 21
  3. 42
  4. 7
  5. 20
  6. 240
  7. 24
  8. 25
  9. 5
  10. 1
  11. 4
  12. 25
  13. 6
  14. 23
  15. 6
  16. 11
  17. 8
  18. 24
  19. 3
  20. 15
  21. 10
  22. 19
  23. 24
  24. 10
  25. 36
  26. 8
  27. 220
  28. 2
  29. 7
  30. 9
  31. 18
  32. 7
  33. 30
  34. 9
  35. 24
  36. 20
  37. 6
  38. 5
  39. 17
  40. 9

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