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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 223 · 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 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  4. 4.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.Two trains, 70 m and 210 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  7. 7.Two trains, 220 m and 95 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  8. 8.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  11. 11.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  12. 12.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  13. 13.Two trains, 50 m and 400 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?
  14. 14.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 54 km upstream and come back?
  16. 16.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 42 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)?
  18. 18.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  19. 19.Two trains, 130 m and 110 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?
  20. 20.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  21. 21.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.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?
  24. 24.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  25. 25.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.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?
  30. 30.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 33 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  34. 34.Two trains, 70 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  35. 35.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 160 m and 200 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?
  37. 37.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  38. 38.Two trains, 60 m and 240 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?
  39. 39.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 4
  2. 12
  3. 24
  4. 580
  5. 7
  6. 28
  7. 9
  8. 7
  9. 650
  10. 36
  11. 9
  12. 225
  13. 10
  14. 2
  15. 24
  16. 16
  17. 10
  18. 20
  19. 8
  20. 21
  21. 24
  22. 12
  23. 22
  24. 33
  25. 22
  26. 13
  27. 6
  28. 50
  29. 14
  30. 14
  31. 160
  32. 30
  33. 5
  34. 5
  35. 24
  36. 9
  37. 280
  38. 10
  39. 560
  40. 1

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