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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 3 · 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 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  2. 2.Two trains, 210 m and 285 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?
  3. 3.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  4. 4.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  5. 5.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 102 km upstream and come back?
  8. 8.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 120 m and 120 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  11. 11.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  13. 13.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  14. 14.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  16. 16.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)?
  17. 17.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  18. 18.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  20. 20.Two trains, 70 m and 200 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 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  24. 24.Two trains, 60 m and 435 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?
  25. 25.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  26. 26.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  27. 27.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  31. 31.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)?
  32. 32.Two trains, 150 m and 150 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?
  33. 33.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A boat goes 80 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)?
  36. 36.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  37. 37.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  38. 38.Two trains, 120 m and 130 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?
  39. 39.Two trains, 110 m and 130 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?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?

Answer key

  1. 10
  2. 11
  3. 15
  4. 16
  5. 2
  6. 13
  7. 108
  8. 4
  9. 12
  10. 12
  11. 5
  12. 23
  13. 140
  14. 11
  15. 32
  16. 1
  17. 25
  18. 18
  19. 480
  20. 9
  21. 5
  22. 13
  23. 19
  24. 11
  25. 29
  26. 14
  27. 11
  28. 22
  29. 19
  30. 5
  31. 2
  32. 6
  33. 390
  34. 10
  35. 15
  36. 625
  37. 16
  38. 10
  39. 8
  40. 28

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