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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 460 · 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 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 84 km upstream and come back?
  2. 2.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  4. 4.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  6. 6.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.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 40 km upstream and come back?
  10. 10.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.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?
  12. 12.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.Two trains, 90 m and 150 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?
  14. 14.Two trains, 80 m and 340 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?
  15. 15.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  19. 19.Two trains, 60 m and 290 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?
  20. 20.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  21. 21.Two trains, 50 m and 250 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?
  22. 22.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  25. 25.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  26. 26.Two trains, 200 m and 160 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?
  27. 27.Two trains, 80 m and 220 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?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 50 m and 310 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?
  31. 31.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  32. 32.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  34. 34.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.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 70 km upstream and come back?
  38. 38.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?
  39. 39.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?

Answer key

  1. 48
  2. 1
  3. 30
  4. 90
  5. 400
  6. 32
  7. 3
  8. 19
  9. 14
  10. 13
  11. 16
  12. 290
  13. 8
  14. 12
  15. 8
  16. 110
  17. 1
  18. 15
  19. 10
  20. 28
  21. 6
  22. 7
  23. 190
  24. 29
  25. 25
  26. 12
  27. 10
  28. 34
  29. 18
  30. 12
  31. 300
  32. 17
  33. 7
  34. 29
  35. 1
  36. 10
  37. 42
  38. 5
  39. 140
  40. 29

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