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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 569 · 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 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.Two trains, 120 m and 360 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?
  4. 4.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  5. 5.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 80 m and 120 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?
  8. 8.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  9. 9.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  12. 12.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  18. 18.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  20. 20.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  23. 23.Two trains, 170 m and 80 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?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  26. 26.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?
  27. 27.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.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)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  30. 30.A boat goes 32 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)?
  31. 31.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  32. 32.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  35. 35.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  39. 39.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?

Answer key

  1. 5
  2. 135
  3. 12
  4. 11
  5. 19
  6. 3
  7. 5
  8. 24
  9. 3
  10. 10
  11. 220
  12. 1
  13. 4
  14. 140
  15. 6
  16. 10
  17. 21
  18. 260
  19. 21
  20. 38
  21. 24
  22. 11
  23. 10
  24. 12
  25. 500
  26. 14
  27. 19
  28. 9
  29. 16
  30. 13
  31. 225
  32. 5
  33. 32
  34. 230
  35. 9
  36. 14
  37. 30
  38. 27
  39. 8
  40. 23

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