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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 654 · 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 boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  3. 3.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 24 km upstream and come back?
  4. 4.A boat goes 60 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)?
  5. 5.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  8. 8.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  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 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  12. 12.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  14. 14.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  15. 15.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  16. 16.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  17. 17.Two trains, 240 m and 60 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?
  18. 18.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  20. 20.Two trains, 140 m and 220 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?
  21. 21.A boat goes 22 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)?
  22. 22.Two trains, 80 m and 130 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?
  23. 23.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  25. 25.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.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 48 km upstream and come back?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  29. 29.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.Two trains, 80 m and 460 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?
  31. 31.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)?
  32. 32.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  33. 33.Two trains, 180 m and 240 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?
  34. 34.Two trains, 240 m and 75 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?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  36. 36.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 100 m and 170 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?
  38. 38.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 114 km upstream and come back?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  40. 40.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?

Answer key

  1. 1
  2. 580
  3. 7
  4. 12
  5. 17
  6. 16
  7. 13
  8. 300
  9. 42
  10. 100
  11. 575
  12. 230
  13. 43
  14. 27
  15. 260
  16. 28
  17. 10
  18. 16
  19. 26
  20. 12
  21. 9
  22. 6
  23. 3
  24. 24
  25. 8
  26. 11
  27. 11
  28. 20
  29. 150
  30. 12
  31. 10
  32. 30
  33. 12
  34. 9
  35. 13
  36. 18
  37. 9
  38. 44
  39. 40
  40. 35

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