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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 925 · 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 running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  3. 3.Two trains, 50 m and 50 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?
  4. 4.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  5. 5.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  7. 7.Two trains, 100 m and 60 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?
  8. 8.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 240 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  11. 11.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  12. 12.A boat goes 63 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)?
  13. 13.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  14. 14.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  17. 17.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 96 km upstream and come back?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  19. 19.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  20. 20.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.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?
  23. 23.A boat goes 60 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)?
  24. 24.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.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?
  26. 26.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  27. 27.Two trains, 80 m and 270 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?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  29. 29.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.Two trains, 80 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 96 km upstream and come back?
  33. 33.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  36. 36.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  37. 37.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 90 m and 85 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 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 88 km upstream and come back?
  40. 40.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?

Answer key

  1. 120
  2. 260
  3. 4
  4. 700
  5. 10
  6. 28
  7. 8
  8. 2
  9. 12
  10. 10
  11. 550
  12. 18
  13. 29
  14. 9
  15. 1
  16. 240
  17. 60
  18. 22
  19. 300
  20. 175
  21. 2
  22. 18
  23. 15
  24. 17
  25. 20
  26. 560
  27. 10
  28. 24
  29. 120
  30. 1
  31. 4
  32. 28
  33. 6
  34. 11
  35. 195
  36. 29
  37. 23
  38. 5
  39. 48
  40. 35

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