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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 663 · 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 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  3. 3.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  4. 4.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  5. 5.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  6. 6.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 117 km upstream and come back?
  7. 7.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  8. 8.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  9. 9.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  10. 10.Two trains, 90 m and 270 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?
  11. 11.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  12. 12.Two trains, 120 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?
  13. 13.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.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?
  15. 15.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  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 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  18. 18.Two trains, 60 m and 210 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?
  19. 19.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  20. 20.Two trains, 70 m and 130 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?
  21. 21.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  23. 23.Two trains, 90 m and 50 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?
  24. 24.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  25. 25.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  26. 26.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  29. 29.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  33. 33.Two trains, 130 m and 220 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?
  34. 34.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  36. 36.Two trains, 50 m and 500 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?
  37. 37.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 13 km upstream and come back?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  39. 39.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 90 km upstream and come back?

Answer key

  1. 21
  2. 28
  3. 25
  4. 32
  5. 160
  6. 48
  7. 15
  8. 32
  9. 150
  10. 9
  11. 550
  12. 9
  13. 320
  14. 22
  15. 8
  16. 75
  17. 22
  18. 9
  19. 28
  20. 8
  21. 9
  22. 345
  23. 4
  24. 24
  25. 17
  26. 16
  27. 37
  28. 22
  29. 11
  30. 2
  31. 5
  32. 21
  33. 7
  34. 5
  35. 41
  36. 11
  37. 14
  38. 13
  39. 120
  40. 36

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