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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 549 · 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 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 30 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)?
  3. 3.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.Two trains, 230 m and 85 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?
  5. 5.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  6. 6.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  9. 9.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  10. 10.Two trains, 110 m and 65 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?
  11. 11.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.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 45 km upstream and come back?
  13. 13.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  15. 15.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 40 km upstream and come back?
  16. 16.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  18. 18.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 96 km upstream and come back?
  22. 22.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?
  23. 23.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 105 km upstream and come back?
  24. 24.Two trains, 210 m and 120 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?
  25. 25.Two trains, 80 m and 235 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?
  26. 26.Two trains, 60 m and 300 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?
  27. 27.Two trains, 150 m and 60 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?
  28. 28.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  30. 30.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  32. 32.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  33. 33.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  35. 35.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.Two trains, 90 m and 315 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?
  37. 37.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  39. 39.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  40. 40.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?

Answer key

  1. 7
  2. 12
  3. 650
  4. 9
  5. 340
  6. 11
  7. 29
  8. 135
  9. 24
  10. 7
  11. 600
  12. 14
  13. 12
  14. 31
  15. 6
  16. 8
  17. 580
  18. 8
  19. 8
  20. 13
  21. 54
  22. 22
  23. 112
  24. 11
  25. 7
  26. 12
  27. 6
  28. 10
  29. 33
  30. 500
  31. 26
  32. 22
  33. 13
  34. 390
  35. 75
  36. 9
  37. 12
  38. 375
  39. 18
  40. 14

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