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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 668 · 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 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  2. 2.Two trains, 70 m and 180 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?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  6. 6.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  7. 7.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  8. 8.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  10. 10.Two trains, 80 m and 360 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?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  13. 13.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  15. 15.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)?
  16. 16.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  20. 20.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 200 m and 50 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?
  23. 23.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.Two trains, 250 m and 100 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?
  25. 25.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 72 km upstream and come back?
  26. 26.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  27. 27.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  30. 30.Two trains, 90 m and 190 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?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 27 km upstream and come back?
  32. 32.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 160 m and 155 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 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  35. 35.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?

Answer key

  1. 21
  2. 10
  3. 13
  4. 29
  5. 32
  6. 450
  7. 225
  8. 23
  9. 26
  10. 11
  11. 5
  12. 32
  13. 28
  14. 20
  15. 5
  16. 5
  17. 2
  18. 2
  19. 20
  20. 27
  21. 11
  22. 10
  23. 285
  24. 10
  25. 45
  26. 23
  27. 11
  28. 26
  29. 9
  30. 8
  31. 10
  32. 2
  33. 9
  34. 360
  35. 21
  36. 5
  37. 13
  38. 20
  39. 9
  40. 20

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