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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 318 · 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.Two trains, 70 m and 230 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?
  2. 2.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.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 55 km upstream and come back?
  4. 4.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)?
  5. 5.Two trains, 150 m and 90 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?
  6. 6.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 45 km upstream and come back?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 92 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)?
  11. 11.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  12. 12.Two trains, 150 m and 60 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?
  13. 13.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  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 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  16. 16.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  18. 18.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  19. 19.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.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?
  23. 23.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.Two trains, 170 m and 130 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?
  26. 26.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  27. 27.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  29. 29.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  33. 33.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  34. 34.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  35. 35.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  36. 36.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.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?
  38. 38.Two trains, 150 m and 200 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 train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 10
  2. 345
  3. 16
  4. 12
  5. 6
  6. 16
  7. 50
  8. 17
  9. 13
  10. 19
  11. 300
  12. 6
  13. 16
  14. 15
  15. 75
  16. 17
  17. 120
  18. 17
  19. 10
  20. 24
  21. 210
  22. 6
  23. 20
  24. 33
  25. 12
  26. 42
  27. 17
  28. 24
  29. 3
  30. 5
  31. 16
  32. 110
  33. 400
  34. 150
  35. 130
  36. 31
  37. 20
  38. 10
  39. 18
  40. 8

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