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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 489 · 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 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  3. 3.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  4. 4.Two trains, 90 m and 240 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?
  5. 5.Two trains, 50 m and 90 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?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 80 km upstream and come back?
  7. 7.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  8. 8.Two trains, 220 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  9. 9.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  10. 10.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  12. 12.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  13. 13.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  15. 15.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 58 km upstream and come back?
  16. 16.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  18. 18.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.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 48 km upstream and come back?
  20. 20.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 15 km upstream and come back?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  22. 22.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  23. 23.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  28. 28.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.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)?
  30. 30.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 90 m and 150 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?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  38. 38.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  39. 39.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?

Answer key

  1. 24
  2. 33
  3. 26
  4. 11
  5. 7
  6. 45
  7. 400
  8. 12
  9. 30
  10. 14
  11. 20
  12. 19
  13. 2
  14. 23
  15. 60
  16. 26
  17. 28
  18. 13
  19. 10
  20. 16
  21. 13
  22. 120
  23. 2
  24. 375
  25. 35
  26. 100
  27. 36
  28. 19
  29. 16
  30. 7
  31. 3
  32. 5
  33. 16
  34. 8
  35. 21
  36. 8
  37. 37
  38. 240
  39. 20
  40. 120

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