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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 967 · 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 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  3. 3.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  6. 6.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 105 km upstream and come back?
  7. 7.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  8. 8.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  9. 9.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.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 66 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  13. 13.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  14. 14.Two trains, 70 m and 410 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?
  15. 15.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 16 km upstream and come back?
  17. 17.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  22. 22.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.Two trains, 190 m and 140 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?
  28. 28.Two trains, 180 m and 150 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?
  29. 29.Two trains, 160 m and 80 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?
  30. 30.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  32. 32.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  33. 33.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  35. 35.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  37. 37.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.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 48 km upstream and come back?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?

Answer key

  1. 41
  2. 27
  3. 5
  4. 60
  5. 80
  6. 50
  7. 20
  8. 16
  9. 1
  10. 72
  11. 100
  12. 22
  13. 14
  14. 12
  15. 28
  16. 5
  17. 5
  18. 21
  19. 19
  20. 40
  21. 31
  22. 22
  23. 13
  24. 15
  25. 3
  26. 15
  27. 11
  28. 11
  29. 8
  30. 300
  31. 480
  32. 34
  33. 16
  34. 27
  35. 7
  36. 50
  37. 8
  38. 29
  39. 11
  40. 15

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