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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 18 · 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 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  8. 8.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  9. 9.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  11. 11.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 63 km upstream and come back?
  15. 15.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  16. 16.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.A boat goes 42 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)?
  18. 18.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  21. 21.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  22. 22.Two trains, 60 m and 60 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?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  25. 25.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 130 m and 110 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?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  28. 28.Two trains, 50 m and 90 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?
  29. 29.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  31. 31.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  33. 33.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 100 m and 60 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?
  35. 35.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)?
  36. 36.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  37. 37.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  39. 39.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?

Answer key

  1. 30
  2. 180
  3. 14
  4. 435
  5. 200
  6. 1
  7. 22
  8. 180
  9. 375
  10. 13
  11. 90
  12. 6
  13. 1
  14. 66
  15. 165
  16. 325
  17. 19
  18. 275
  19. 19
  20. 21
  21. 650
  22. 6
  23. 32
  24. 25
  25. 3
  26. 6
  27. 32
  28. 7
  29. 18
  30. 32
  31. 10
  32. 88
  33. 16
  34. 4
  35. 19
  36. 240
  37. 22
  38. 31
  39. 19
  40. 120

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