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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 970 · 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 36 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)?
  2. 2.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  3. 3.Two trains, 180 m and 120 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?
  4. 4.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  6. 6.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  7. 7.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  8. 8.Two trains, 70 m and 50 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?
  9. 9.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  11. 11.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 90 km upstream and come back?
  14. 14.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  20. 20.Two trains, 180 m and 65 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?
  21. 21.A boat goes 18 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)?
  22. 22.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.Two trains, 180 m and 225 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?
  24. 24.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 190 m and 170 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?
  26. 26.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 60 m and 210 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?
  29. 29.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  30. 30.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  31. 31.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  34. 34.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 45 km upstream and come back?
  36. 36.Two trains, 90 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?
  37. 37.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 70 m and 350 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?
  39. 39.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  40. 40.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 11
  2. 21
  3. 10
  4. 30
  5. 20
  6. 29
  7. 220
  8. 6
  9. 28
  10. 27
  11. 9
  12. 75
  13. 96
  14. 18
  15. 7
  16. 4
  17. 1
  18. 6
  19. 33
  20. 7
  21. 7
  22. 16
  23. 9
  24. 15
  25. 9
  26. 23
  27. 2
  28. 9
  29. 130
  30. 34
  31. 375
  32. 6
  33. 16
  34. 150
  35. 12
  36. 10
  37. 15
  38. 12
  39. 90
  40. 5

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