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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 60 · 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 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 84 km upstream and come back?
  3. 3.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  5. 5.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  7. 7.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  8. 8.Two trains, 60 m and 255 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?
  9. 9.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  10. 10.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  12. 12.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.Two trains, 60 m and 340 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.Two trains, 150 m and 300 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?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  20. 20.Two trains, 80 m and 340 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?
  21. 21.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.Two trains, 100 m and 180 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?
  24. 24.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  26. 26.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)?
  27. 27.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  28. 28.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 88 km upstream and come back?
  29. 29.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  30. 30.Two trains, 60 m and 240 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?
  31. 31.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 72 km upstream and come back?
  33. 33.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?
  34. 34.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 56 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  37. 37.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 3
  2. 24
  3. 28
  4. 33
  5. 11
  6. 14
  7. 30
  8. 7
  9. 125
  10. 19
  11. 24
  12. 725
  13. 10
  14. 9
  15. 7
  16. 1
  17. 7
  18. 21
  19. 130
  20. 12
  21. 13
  22. 21
  23. 8
  24. 1
  25. 22
  26. 2
  27. 480
  28. 55
  29. 17
  30. 12
  31. 27
  32. 80
  33. 12
  34. 8
  35. 5
  36. 26
  37. 7
  38. 10
  39. 18
  40. 290

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