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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 855 · 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 36 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 24 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 90 km upstream and come back?
  4. 4.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  5. 5.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  7. 7.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  8. 8.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  9. 9.Two trains, 110 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?
  10. 10.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 180 m and 120 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?
  12. 12.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  15. 15.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  19. 19.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  27. 27.Two trains, 230 m and 190 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?
  28. 28.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 160 m and 380 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?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 140 m and 70 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?
  33. 33.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  34. 34.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  39. 39.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 15
  2. 360
  3. 24
  4. 5
  5. 10
  6. 29
  7. 260
  8. 22
  9. 9
  10. 28
  11. 12
  12. 300
  13. 130
  14. 20
  15. 19
  16. 3
  17. 36
  18. 26
  19. 6
  20. 6
  21. 21
  22. 27
  23. 65
  24. 1
  25. 22
  26. 9
  27. 12
  28. 30
  29. 12
  30. 13
  31. 26
  32. 7
  33. 16
  34. 9
  35. 1
  36. 24
  37. 27
  38. 27
  39. 6
  40. 7

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