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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 619 · 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, 60 m and 160 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?
  2. 2.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.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?
  5. 5.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.Two trains, 90 m and 270 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  8. 8.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  11. 11.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  13. 13.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  15. 15.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 52 km upstream and come back?
  18. 18.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 60 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 110 km upstream and come back?
  23. 23.Two trains, 80 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.Two trains, 120 m and 100 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?
  25. 25.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.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 72 km upstream and come back?
  27. 27.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 230 m and 310 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?
  29. 29.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 18 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?
  31. 31.Two trains, 170 m and 145 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?
  32. 32.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  34. 34.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  36. 36.Two trains, 90 m and 225 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?
  37. 37.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  38. 38.Two trains, 140 m and 280 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 20
  3. 1
  4. 13
  5. 20
  6. 27
  7. 8
  8. 21
  9. 1
  10. 100
  11. 15
  12. 15
  13. 2
  14. 240
  15. 7
  16. 28
  17. 15
  18. 10
  19. 3
  20. 525
  21. 26
  22. 120
  23. 4
  24. 11
  25. 200
  26. 30
  27. 17
  28. 12
  29. 15
  30. 9
  31. 9
  32. 23
  33. 24
  34. 2
  35. 14
  36. 9
  37. 40
  38. 12
  39. 6
  40. 5

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