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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 892 · 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 boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 220 m and 165 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?
  4. 4.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  11. 11.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  12. 12.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  13. 13.Two trains, 130 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  15. 15.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  17. 17.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  18. 18.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  22. 22.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  23. 23.A boat goes 76 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)?
  24. 24.Two trains, 60 m and 90 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?
  25. 25.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  26. 26.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  27. 27.Two trains, 110 m and 210 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?
  28. 28.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.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 95 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 405 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 36 km/h. How many seconds does it take to cross a platform 70 m long?
  34. 34.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  35. 35.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  36. 36.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 110 km upstream and come back?
  37. 37.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  39. 39.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 3
  2. 8
  3. 11
  4. 5
  5. 28
  6. 27
  7. 17
  8. 4
  9. 230
  10. 17
  11. 18
  12. 34
  13. 5
  14. 30
  15. 2
  16. 34
  17. 23
  18. 80
  19. 72
  20. 6
  21. 140
  22. 20
  23. 15
  24. 6
  25. 33
  26. 175
  27. 8
  28. 5
  29. 100
  30. 130
  31. 12
  32. 27
  33. 25
  34. 19
  35. 25
  36. 120
  37. 340
  38. 540
  39. 18
  40. 13

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