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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 328 · 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 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  5. 5.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.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 91 km upstream and come back?
  7. 7.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 150 m and 200 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?
  9. 9.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)?
  10. 10.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  13. 13.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  15. 15.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 160 m and 50 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?
  17. 17.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 160 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?
  21. 21.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  22. 22.Two trains, 130 m and 420 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?
  23. 23.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?
  24. 24.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 110 m and 295 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?
  26. 26.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  27. 27.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  28. 28.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  29. 29.Two trains, 190 m and 60 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?
  30. 30.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  36. 36.A boat goes 30 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)?
  37. 37.Two trains, 80 m and 130 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?
  38. 38.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  40. 40.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 16
  2. 4
  3. 21
  4. 14
  5. 15
  6. 98
  7. 16
  8. 10
  9. 4
  10. 8
  11. 15
  12. 16
  13. 5
  14. 29
  15. 2
  16. 7
  17. 1
  18. 23
  19. 28
  20. 10
  21. 480
  22. 11
  23. 11
  24. 11
  25. 9
  26. 375
  27. 120
  28. 36
  29. 10
  30. 190
  31. 10
  32. 27
  33. 5
  34. 17
  35. 14
  36. 13
  37. 7
  38. 8
  39. 27
  40. 12

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