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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 166 · 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 train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  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 90 km upstream and come back?
  3. 3.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 48 km upstream and come back?
  5. 5.Two trains, 110 m and 340 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?
  6. 6.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 80 km upstream and come back?
  12. 12.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  13. 13.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  14. 14.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  18. 18.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  19. 19.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 60 m and 185 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?
  22. 22.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  27. 27.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  29. 29.Two trains, 80 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  33. 33.Two trains, 180 m and 65 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?
  34. 34.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  35. 35.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  38. 38.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  39. 39.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)?
  40. 40.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 10
  2. 100
  3. 40
  4. 8
  5. 10
  6. 5
  7. 6
  8. 24
  9. 16
  10. 29
  11. 44
  12. 18
  13. 23
  14. 9
  15. 40
  16. 100
  17. 36
  18. 37
  19. 12
  20. 1
  21. 7
  22. 7
  23. 20
  24. 11
  25. 5
  26. 165
  27. 21
  28. 11
  29. 9
  30. 5
  31. 20
  32. 450
  33. 7
  34. 300
  35. 20
  36. 1
  37. 20
  38. 20
  39. 7
  40. 5

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