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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 213 · 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 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.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 99 km upstream and come back?
  3. 3.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  6. 6.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  7. 7.Two trains, 90 m and 135 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  8. 8.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  9. 9.Two trains, 70 m and 140 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?
  10. 10.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 66 km upstream and come back?
  11. 11.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  12. 12.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  13. 13.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  17. 17.Two trains, 50 m and 220 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?
  18. 18.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  21. 21.Two trains, 50 m and 190 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?
  22. 22.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  24. 24.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  25. 25.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 115 km upstream and come back?
  27. 27.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  28. 28.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 120 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  31. 31.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  33. 33.Two trains, 110 m and 70 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?
  34. 34.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  35. 35.A boat goes 54 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)?
  36. 36.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  37. 37.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  39. 39.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?

Answer key

  1. 18
  2. 110
  3. 30
  4. 18
  5. 16
  6. 28
  7. 5
  8. 12
  9. 7
  10. 36
  11. 19
  12. 150
  13. 5
  14. 28
  15. 14
  16. 500
  17. 9
  18. 12
  19. 3
  20. 18
  21. 8
  22. 450
  23. 19
  24. 210
  25. 5
  26. 120
  27. 17
  28. 1
  29. 32
  30. 150
  31. 5
  32. 34
  33. 9
  34. 31
  35. 15
  36. 240
  37. 34
  38. 10
  39. 27
  40. 160

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