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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 629 · 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 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  2. 2.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?
  3. 3.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 25 km upstream and come back?
  4. 4.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  5. 5.Two trains, 180 m and 65 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?
  6. 6.Two trains, 70 m and 110 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?
  7. 7.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  8. 8.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 50 m and 335 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  11. 11.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  12. 12.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 150 m and 150 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  15. 15.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  17. 17.Two trains, 50 m and 50 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  19. 19.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  21. 21.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  26. 26.Two trains, 250 m and 80 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?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  28. 28.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  30. 30.Two trains, 190 m and 60 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  33. 33.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?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  35. 35.Two trains, 160 m and 260 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.Two trains, 100 m and 320 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  40. 40.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?

Answer key

  1. 36
  2. 3
  3. 6
  4. 300
  5. 7
  6. 6
  7. 270
  8. 21
  9. 11
  10. 100
  11. 285
  12. 20
  13. 10
  14. 32
  15. 200
  16. 22
  17. 4
  18. 26
  19. 22
  20. 31
  21. 1
  22. 11
  23. 5
  24. 9
  25. 34
  26. 11
  27. 90
  28. 25
  29. 675
  30. 10
  31. 15
  32. 20
  33. 18
  34. 16
  35. 12
  36. 1
  37. 26
  38. 12
  39. 34
  40. 425

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