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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 742 · 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 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  2. 2.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.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)?
  9. 9.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 32 km upstream and come back?
  10. 10.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  13. 13.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  14. 14.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  17. 17.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.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 112 km upstream and come back?
  19. 19.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.Two trains, 190 m and 90 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?
  22. 22.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.Two trains, 50 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  27. 27.Two trains, 50 m and 280 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?
  28. 28.Two trains, 60 m and 255 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?
  29. 29.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  30. 30.Two trains, 160 m and 190 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?
  31. 31.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.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 120 km upstream and come back?
  33. 33.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  35. 35.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  36. 36.Two trains, 130 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  37. 37.Two trains, 150 m and 235 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  38. 38.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  39. 39.A boat goes 64 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)?
  40. 40.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 80 km upstream and come back?

Answer key

  1. 625
  2. 10
  3. 5
  4. 13
  5. 180
  6. 1
  7. 26
  8. 2
  9. 20
  10. 5
  11. 16
  12. 42
  13. 150
  14. 12
  15. 19
  16. 9
  17. 4
  18. 70
  19. 17
  20. 22
  21. 7
  22. 20
  23. 28
  24. 5
  25. 420
  26. 7
  27. 11
  28. 9
  29. 33
  30. 10
  31. 3
  32. 42
  33. 125
  34. 29
  35. 30
  36. 10
  37. 11
  38. 13
  39. 13
  40. 15

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