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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 645 · 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 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  2. 2.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  4. 4.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 24 km upstream and come back?
  6. 6.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.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 40 km upstream and come back?
  8. 8.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.Two trains, 100 m and 75 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 train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  12. 12.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  15. 15.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 200 m and 75 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  22. 22.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?
  23. 23.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  24. 24.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 96 km upstream and come back?
  26. 26.Two trains, 110 m and 240 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 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  28. 28.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  30. 30.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  31. 31.Two trains, 80 m and 100 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?
  32. 32.Two trains, 180 m and 240 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?
  33. 33.A boat goes 39 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 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?
  35. 35.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 40 km upstream and come back?
  38. 38.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  40. 40.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 27
  2. 5
  3. 26
  4. 290
  5. 13
  6. 5
  7. 7
  8. 13
  9. 27
  10. 7
  11. 300
  12. 19
  13. 12
  14. 90
  15. 5
  16. 2
  17. 11
  18. 41
  19. 2
  20. 16
  21. 32
  22. 10
  23. 19
  24. 18
  25. 15
  26. 10
  27. 28
  28. 4
  29. 26
  30. 525
  31. 4
  32. 12
  33. 2
  34. 5
  35. 180
  36. 7
  37. 6
  38. 22
  39. 32
  40. 25

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