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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 128 · 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 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  4. 4.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 50 m and 220 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?
  6. 6.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  7. 7.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  9. 9.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 160 m and 260 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?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  12. 12.Two trains, 50 m and 75 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?
  13. 13.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  14. 14.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  18. 18.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 32 km upstream and come back?
  20. 20.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 190 m and 50 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?
  22. 22.Two trains, 60 m and 115 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?
  23. 23.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  24. 24.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  26. 26.Two trains, 160 m and 190 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?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  28. 28.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  35. 35.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  36. 36.A boat goes 30 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)?
  37. 37.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 90 m and 150 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 20 km upstream and come back?
  40. 40.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?

Answer key

  1. 15
  2. 28
  3. 23
  4. 10
  5. 9
  6. 300
  7. 18
  8. 420
  9. 15
  10. 12
  11. 14
  12. 5
  13. 600
  14. 5
  15. 4
  16. 9
  17. 90
  18. 60
  19. 10
  20. 26
  21. 6
  22. 7
  23. 12
  24. 18
  25. 36
  26. 10
  27. 26
  28. 120
  29. 14
  30. 23
  31. 25
  32. 8
  33. 26
  34. 21
  35. 30
  36. 9
  37. 22
  38. 12
  39. 7
  40. 525

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