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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 200 · 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 at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  3. 3.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  7. 7.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 80 m and 270 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?
  9. 9.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  10. 10.Two trains, 60 m and 165 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?
  11. 11.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 68 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 110 m and 290 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?
  16. 16.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  17. 17.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  19. 19.Two trains, 100 m and 200 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?
  20. 20.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  22. 22.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  24. 24.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  30. 30.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  31. 31.Two trains, 150 m and 235 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?
  32. 32.Two trains, 100 m and 110 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?
  33. 33.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 120 m and 330 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  38. 38.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 16
  2. 18
  3. 31
  4. 1
  5. 3
  6. 36
  7. 25
  8. 10
  9. 34
  10. 9
  11. 1
  12. 2
  13. 3
  14. 10
  15. 10
  16. 210
  17. 7
  18. 30
  19. 10
  20. 5
  21. 26
  22. 4
  23. 280
  24. 15
  25. 14
  26. 24
  27. 5
  28. 7
  29. 11
  30. 19
  31. 11
  32. 6
  33. 20
  34. 9
  35. 2
  36. 25
  37. 13
  38. 5
  39. 5
  40. 11

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