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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 803 · 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 train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  4. 4.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  7. 7.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  8. 8.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  9. 9.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 48 km upstream and come back?
  11. 11.Two trains, 140 m and 70 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?
  12. 12.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.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?
  15. 15.Two trains, 110 m and 65 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?
  16. 16.Two trains, 90 m and 150 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?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 8 km upstream and come back?
  18. 18.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)?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 44 km upstream and come back?
  20. 20.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  21. 21.Two trains, 250 m and 290 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?
  22. 22.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  23. 23.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  24. 24.Two trains, 80 m and 250 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?
  25. 25.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  26. 26.Two trains, 210 m and 70 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?
  27. 27.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 72 km upstream and come back?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  29. 29.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.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 84 km upstream and come back?
  36. 36.Two trains, 80 m and 100 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?
  37. 37.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 24 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  39. 39.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 99 km upstream and come back?
  40. 40.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?

Answer key

  1. 28
  2. 320
  3. 28
  4. 7
  5. 25
  6. 22
  7. 16
  8. 27
  9. 18
  10. 10
  11. 7
  12. 13
  13. 20
  14. 36
  15. 5
  16. 8
  17. 3
  18. 4
  19. 48
  20. 43
  21. 12
  22. 25
  23. 5
  24. 11
  25. 31
  26. 8
  27. 21
  28. 30
  29. 120
  30. 7
  31. 13
  32. 4
  33. 4
  34. 2
  35. 27
  36. 6
  37. 15
  38. 405
  39. 110
  40. 18

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