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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 844 · 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 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  4. 4.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 96 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  7. 7.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.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 91 km upstream and come back?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  13. 13.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  18. 18.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  23. 23.Two trains, 120 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?
  24. 24.A boat goes 90 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 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 200 m and 50 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?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 12 km upstream and come back?
  28. 28.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 180 m and 90 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  30. 30.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 21 km upstream and come back?
  33. 33.Two trains, 70 m and 140 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?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 90 m and 295 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 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  38. 38.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  39. 39.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?

Answer key

  1. 29
  2. 16
  3. 18
  4. 5
  5. 51
  6. 300
  7. 14
  8. 8
  9. 425
  10. 17
  11. 98
  12. 28
  13. 3
  14. 1
  15. 28
  16. 11
  17. 34
  18. 13
  19. 15
  20. 4
  21. 27
  22. 34
  23. 10
  24. 14
  25. 12
  26. 5
  27. 3
  28. 15
  29. 9
  30. 20
  31. 300
  32. 8
  33. 6
  34. 11
  35. 13
  36. 11
  37. 14
  38. 150
  39. 11
  40. 15

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