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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 124 · 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 running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 70 m and 260 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.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  6. 6.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  7. 7.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  9. 9.Two trains, 110 m and 90 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?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  11. 11.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  14. 14.Two trains, 50 m and 310 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?
  15. 15.A boat goes 26 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)?
  16. 16.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  17. 17.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  18. 18.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  19. 19.Two trains, 110 m and 160 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?
  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 boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  22. 22.Two trains, 100 m and 100 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?
  23. 23.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.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 77 km upstream and come back?
  26. 26.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  29. 29.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  32. 32.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  34. 34.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  37. 37.Two trains, 200 m and 120 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?
  38. 38.Two trains, 90 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?
  39. 39.Two trains, 120 m and 420 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?
  40. 40.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?

Answer key

  1. 435
  2. 30
  3. 18
  4. 11
  5. 34
  6. 220
  7. 4
  8. 300
  9. 4
  10. 12
  11. 2
  12. 26
  13. 20
  14. 12
  15. 12
  16. 20
  17. 225
  18. 100
  19. 6
  20. 6
  21. 26
  22. 5
  23. 220
  24. 10
  25. 84
  26. 21
  27. 22
  28. 31
  29. 4
  30. 11
  31. 10
  32. 2
  33. 225
  34. 4
  35. 10
  36. 90
  37. 8
  38. 8
  39. 12
  40. 12

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