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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 824 · 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 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  3. 3.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  4. 4.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  6. 6.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 22 km upstream and come back?
  9. 9.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  13. 13.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 170 m and 160 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?
  16. 16.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 24 km upstream and come back?
  17. 17.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.Two trains, 60 m and 480 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  21. 21.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  23. 23.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  25. 25.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 120 km upstream and come back?
  26. 26.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 42 km upstream and come back?
  27. 27.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.Two trains, 50 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?
  29. 29.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 100 km upstream and come back?
  30. 30.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 15 km upstream and come back?
  31. 31.Two trains, 50 m and 130 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?
  32. 32.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  33. 33.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  35. 35.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 190 m and 130 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?
  37. 37.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 25
  2. 80
  3. 27
  4. 12
  5. 25
  6. 315
  7. 27
  8. 24
  9. 700
  10. 28
  11. 210
  12. 325
  13. 1
  14. 1
  15. 11
  16. 15
  17. 4
  18. 13
  19. 12
  20. 26
  21. 12
  22. 28
  23. 28
  24. 44
  25. 35
  26. 8
  27. 20
  28. 4
  29. 55
  30. 4
  31. 6
  32. 14
  33. 15
  34. 190
  35. 19
  36. 8
  37. 30
  38. 22
  39. 19
  40. 2

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