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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 77 · 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 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.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 120 km upstream and come back?
  5. 5.Two trains, 70 m and 80 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?
  6. 6.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.Two trains, 50 m and 335 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?
  8. 8.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?
  9. 9.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  10. 10.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  11. 11.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 190 m and 125 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?
  15. 15.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.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?
  17. 17.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  18. 18.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  22. 22.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  26. 26.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.Two trains, 60 m and 100 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?
  29. 29.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.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 12 km upstream and come back?
  33. 33.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  34. 34.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?
  35. 35.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  37. 37.Two trains, 110 m and 205 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?
  38. 38.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 34
  2. 26
  3. 17
  4. 42
  5. 6
  6. 90
  7. 11
  8. 40
  9. 24
  10. 650
  11. 5
  12. 14
  13. 16
  14. 9
  15. 15
  16. 20
  17. 200
  18. 23
  19. 29
  20. 9
  21. 17
  22. 5
  23. 100
  24. 40
  25. 280
  26. 5
  27. 6
  28. 8
  29. 16
  30. 5
  31. 19
  32. 5
  33. 26
  34. 80
  35. 24
  36. 29
  37. 9
  38. 14
  39. 5
  40. 23

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