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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 513 · 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 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  5. 5.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 39 km upstream and come back?
  8. 8.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 30 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)?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 110 km upstream and come back?
  13. 13.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 90 km upstream and come back?
  15. 15.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  17. 17.Two trains, 130 m and 350 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?
  18. 18.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  20. 20.Two trains, 70 m and 410 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 boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  23. 23.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 48 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)?
  25. 25.Two trains, 50 m and 230 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?
  26. 26.A boat goes 44 km downstream in 4 hours and 4 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  28. 28.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  30. 30.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  31. 31.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 160 m and 260 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 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.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 24 km upstream and come back?
  36. 36.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  38. 38.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  39. 39.A boat goes 42 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)?
  40. 40.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?

Answer key

  1. 23
  2. 7
  3. 26
  4. 6
  5. 18
  6. 41
  7. 42
  8. 26
  9. 10
  10. 22
  11. 23
  12. 60
  13. 160
  14. 50
  15. 5
  16. 32
  17. 12
  18. 14
  19. 20
  20. 12
  21. 19
  22. 34
  23. 8
  24. 13
  25. 8
  26. 6
  27. 20
  28. 3
  29. 140
  30. 375
  31. 2
  32. 12
  33. 5
  34. 5
  35. 4
  36. 17
  37. 150
  38. 20
  39. 17
  40. 6

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