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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 887 · 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 20 seconds. How long is the train (in metres)?
  2. 2.Two trains, 150 m and 150 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?
  3. 3.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  6. 6.Two trains, 170 m and 130 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?
  7. 7.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.Two trains, 200 m and 160 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?
  9. 9.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  10. 10.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  12. 12.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 110 m and 140 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?
  14. 14.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  15. 15.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 210 m and 120 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?
  19. 19.Two trains, 80 m and 80 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?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  21. 21.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.Two trains, 120 m and 105 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?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  28. 28.A boat goes 115 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)?
  29. 29.Two trains, 180 m and 205 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?
  30. 30.Two trains, 210 m and 120 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?
  31. 31.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 90 m and 155 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?
  34. 34.Two trains, 70 m and 205 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?
  35. 35.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  36. 36.Two trains, 100 m and 80 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?
  37. 37.Two trains, 230 m and 220 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?
  38. 38.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.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)?

Answer key

  1. 300
  2. 10
  3. 30
  4. 19
  5. 34
  6. 10
  7. 11
  8. 12
  9. 35
  10. 17
  11. 22
  12. 10
  13. 10
  14. 38
  15. 18
  16. 35
  17. 7
  18. 11
  19. 4
  20. 11
  21. 17
  22. 240
  23. 13
  24. 12
  25. 160
  26. 9
  27. 32
  28. 19
  29. 11
  30. 11
  31. 520
  32. 5
  33. 7
  34. 11
  35. 40
  36. 9
  37. 10
  38. 560
  39. 90
  40. 15

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