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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 950 · 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 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  2. 2.Two trains, 100 m and 380 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?
  3. 3.Two trains, 140 m and 60 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?
  4. 4.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  6. 6.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  7. 7.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  9. 9.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 80 m and 340 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  13. 13.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 56 km upstream and come back?
  14. 14.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  17. 17.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.Two trains, 150 m and 60 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?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.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)?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  23. 23.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.Two trains, 80 m and 145 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?
  25. 25.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  26. 26.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 50 m and 270 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?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  34. 34.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  37. 37.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.Two trains, 80 m and 280 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?
  40. 40.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?

Answer key

  1. 17
  2. 12
  3. 8
  4. 21
  5. 19
  6. 250
  7. 5
  8. 25
  9. 5
  10. 25
  11. 13
  12. 12
  13. 18
  14. 4
  15. 12
  16. 11
  17. 10
  18. 31
  19. 6
  20. 12
  21. 2
  22. 27
  23. 400
  24. 5
  25. 19
  26. 20
  27. 5
  28. 14
  29. 29
  30. 14
  31. 8
  32. 22
  33. 160
  34. 19
  35. 29
  36. 15
  37. 25
  38. 285
  39. 8
  40. 27

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