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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 826 · 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 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 98 km upstream and come back?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  6. 6.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  7. 7.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?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  10. 10.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  11. 11.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 84 km upstream and come back?
  12. 12.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  14. 14.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  16. 16.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  18. 18.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 100 km upstream and come back?
  19. 19.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  21. 21.Two trains, 70 m and 80 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?
  22. 22.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.Two trains, 120 m and 105 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?
  24. 24.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 112 km upstream and come back?
  27. 27.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  29. 29.Two trains, 90 m and 135 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?
  30. 30.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  31. 31.Two trains, 70 m and 350 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?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  33. 33.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  35. 35.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  36. 36.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  40. 40.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?

Answer key

  1. 30
  2. 450
  3. 13
  4. 56
  5. 18
  6. 220
  7. 11
  8. 15
  9. 20
  10. 20
  11. 32
  12. 20
  13. 37
  14. 25
  15. 22
  16. 75
  17. 32
  18. 24
  19. 6
  20. 24
  21. 6
  22. 240
  23. 5
  24. 23
  25. 5
  26. 64
  27. 1
  28. 22
  29. 5
  30. 31
  31. 12
  32. 29
  33. 10
  34. 26
  35. 27
  36. 18
  37. 18
  38. 30
  39. 675
  40. 22

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