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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 979 · 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 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 50 m and 200 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?
  3. 3.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 160 m and 50 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?
  5. 5.Two trains, 130 m and 410 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?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 100 m and 500 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?
  8. 8.Two trains, 100 m and 145 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?
  9. 9.Two trains, 190 m and 160 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?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  11. 11.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.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)?
  14. 14.Two trains, 170 m and 180 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?
  15. 15.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  16. 16.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  17. 17.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.Two trains, 140 m and 340 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.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 70 m and 110 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?
  21. 21.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 180 m and 120 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?
  23. 23.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  28. 28.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 170 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?
  30. 30.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  31. 31.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  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 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 66 km upstream and come back?
  36. 36.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.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 88 km upstream and come back?
  39. 39.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 63 km upstream and come back?
  40. 40.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?

Answer key

  1. 1
  2. 10
  3. 5
  4. 7
  5. 12
  6. 11
  7. 12
  8. 7
  9. 7
  10. 21
  11. 24
  12. 5
  13. 2
  14. 7
  15. 11
  16. 25
  17. 5
  18. 12
  19. 4
  20. 9
  21. 1
  22. 12
  23. 11
  24. 125
  25. 19
  26. 26
  27. 9
  28. 6
  29. 11
  30. 250
  31. 19
  32. 28
  33. 4
  34. 9
  35. 24
  36. 8
  37. 18
  38. 33
  39. 30
  40. 500

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