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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 704 · 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 at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  2. 2.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  3. 3.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  7. 7.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  9. 9.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  14. 14.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  15. 15.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.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)?
  17. 17.Two trains, 190 m and 160 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  20. 20.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 80 m and 95 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  26. 26.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  27. 27.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  28. 28.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 130 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes 36 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 boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 52 km upstream and come back?
  38. 38.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  39. 39.Two trains, 110 m and 190 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?
  40. 40.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?

Answer key

  1. 18
  2. 31
  3. 24
  4. 27
  5. 1
  6. 170
  7. 11
  8. 25
  9. 2
  10. 9
  11. 54
  12. 13
  13. 9
  14. 31
  15. 17
  16. 5
  17. 10
  18. 110
  19. 20
  20. 35
  21. 11
  22. 5
  23. 9
  24. 20
  25. 270
  26. 33
  27. 21
  28. 9
  29. 18
  30. 10
  31. 7
  32. 4
  33. 18
  34. 14
  35. 90
  36. 40
  37. 56
  38. 12
  39. 12
  40. 600

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