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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 46 · 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 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  2. 2.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.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?
  4. 4.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  8. 8.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  10. 10.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.Two trains, 160 m and 320 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?
  14. 14.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  17. 17.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  18. 18.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  19. 19.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 24 km upstream and come back?
  21. 21.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 80 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  26. 26.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 70 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 140 m and 175 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.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)?
  30. 30.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  34. 34.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  36. 36.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  39. 39.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 43
  2. 90
  3. 20
  4. 120
  5. 10
  6. 6
  7. 600
  8. 190
  9. 12
  10. 19
  11. 1
  12. 525
  13. 12
  14. 16
  15. 150
  16. 26
  17. 290
  18. 180
  19. 175
  20. 14
  21. 700
  22. 21
  23. 4
  24. 5
  25. 230
  26. 10
  27. 6
  28. 9
  29. 1
  30. 2
  31. 37
  32. 30
  33. 26
  34. 4
  35. 250
  36. 3
  37. 19
  38. 27
  39. 24
  40. 5

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