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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 323 · 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 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 48 km upstream and come back?
  5. 5.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  7. 7.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  8. 8.A boat goes 36 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  11. 11.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.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 99 km upstream and come back?
  14. 14.Two trains, 200 m and 220 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?
  15. 15.A boat goes 68 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.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 120 km upstream and come back?
  17. 17.Two trains, 130 m and 80 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?
  18. 18.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  20. 20.Two trains, 180 m and 100 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?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  23. 23.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  25. 25.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  26. 26.Two trains, 180 m and 120 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?
  27. 27.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 150 m and 90 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?
  38. 38.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 90 m and 310 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?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 80 km upstream and come back?

Answer key

  1. 5
  2. 9
  3. 13
  4. 8
  5. 240
  6. 20
  7. 42
  8. 11
  9. 16
  10. 120
  11. 19
  12. 7
  13. 44
  14. 12
  15. 5
  16. 30
  17. 7
  18. 6
  19. 11
  20. 7
  21. 8
  22. 41
  23. 29
  24. 24
  25. 360
  26. 10
  27. 30
  28. 26
  29. 30
  30. 22
  31. 29
  32. 5
  33. 28
  34. 27
  35. 11
  36. 1
  37. 8
  38. 21
  39. 10
  40. 14

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