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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 417 · 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 at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 54 km upstream and come back?
  2. 2.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  3. 3.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  5. 5.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  6. 6.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.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 72 km upstream and come back?
  9. 9.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  10. 10.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  12. 12.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 100 m and 180 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?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  16. 16.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  18. 18.A boat goes 75 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)?
  19. 19.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  20. 20.A boat goes at 17 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?
  21. 21.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.Two trains, 120 m and 80 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?
  25. 25.A boat goes 36 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)?
  26. 26.Two trains, 190 m and 230 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?
  27. 27.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  28. 28.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  30. 30.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  31. 31.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 90 km upstream and come back?
  32. 32.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 120 m and 130 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?
  34. 34.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  36. 36.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  37. 37.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)?
  38. 38.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?

Answer key

  1. 56
  2. 36
  3. 9
  4. 16
  5. 16
  6. 22
  7. 20
  8. 39
  9. 17
  10. 11
  11. 22
  12. 8
  13. 7
  14. 15
  15. 260
  16. 10
  17. 14
  18. 11
  19. 37
  20. 17
  21. 1
  22. 25
  23. 300
  24. 5
  25. 17
  26. 12
  27. 60
  28. 150
  29. 28
  30. 450
  31. 36
  32. 2
  33. 10
  34. 1
  35. 34
  36. 18
  37. 1
  38. 1
  39. 17
  40. 33

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