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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 673 · 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 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.Two trains, 100 m and 80 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?
  8. 8.Two trains, 90 m and 50 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?
  9. 9.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  12. 12.Two trains, 90 m and 150 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?
  13. 13.Two trains, 150 m and 165 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  14. 14.Two trains, 60 m and 215 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?
  15. 15.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  16. 16.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 80 km upstream and come back?
  17. 17.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  18. 18.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  21. 21.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  22. 22.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  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.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  28. 28.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 50 m and 90 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?
  30. 30.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  31. 31.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 60 km upstream and come back?
  37. 37.A boat goes 57 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.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?
  39. 39.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  40. 40.Two trains, 200 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?

Answer key

  1. 9
  2. 30
  3. 24
  4. 150
  5. 16
  6. 7
  7. 4
  8. 4
  9. 26
  10. 24
  11. 28
  12. 12
  13. 9
  14. 11
  15. 36
  16. 50
  17. 390
  18. 4
  19. 260
  20. 32
  21. 70
  22. 6
  23. 36
  24. 13
  25. 26
  26. 23
  27. 260
  28. 27
  29. 7
  30. 23
  31. 11
  32. 15
  33. 3
  34. 5
  35. 580
  36. 35
  37. 16
  38. 16
  39. 25
  40. 12

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