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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 534 · 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 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  2. 2.Two trains, 200 m and 295 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?
  3. 3.Two trains, 50 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?
  4. 4.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.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)?
  9. 9.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  14. 14.Two trains, 120 m and 90 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?
  15. 15.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)?
  16. 16.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 130 m and 185 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?
  20. 20.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.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 66 km upstream and come back?
  22. 22.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 30 km upstream and come back?
  23. 23.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  24. 24.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  25. 25.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  26. 26.Two trains, 220 m and 80 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?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  28. 28.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  31. 31.Two trains, 60 m and 90 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?
  32. 32.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 220 m and 60 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?
  35. 35.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  36. 36.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 32 km upstream and come back?
  37. 37.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  39. 39.Two trains, 190 m and 50 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?
  40. 40.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 26
  2. 11
  3. 10
  4. 90
  5. 72
  6. 650
  7. 8
  8. 1
  9. 280
  10. 17
  11. 12
  12. 20
  13. 20
  14. 6
  15. 16
  16. 31
  17. 16
  18. 6
  19. 9
  20. 9
  21. 28
  22. 4
  23. 31
  24. 35
  25. 140
  26. 10
  27. 45
  28. 19
  29. 4
  30. 32
  31. 5
  32. 13
  33. 25
  34. 7
  35. 30
  36. 6
  37. 6
  38. 110
  39. 8
  40. 5

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