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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 709 · 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 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 80 m and 120 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?
  3. 3.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?
  4. 4.Two trains, 120 m and 120 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?
  5. 5.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.Two trains, 60 m and 80 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?
  10. 10.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 40 km upstream and come back?
  14. 14.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  17. 17.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  19. 19.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  20. 20.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  21. 21.Two trains, 90 m and 85 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 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  25. 25.Two trains, 170 m and 310 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  28. 28.Two trains, 80 m and 130 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?
  29. 29.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.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?
  34. 34.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  35. 35.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.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 36 km upstream and come back?
  37. 37.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 120 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  39. 39.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  40. 40.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 14
  2. 10
  3. 20
  4. 12
  5. 8
  6. 5
  7. 28
  8. 14
  9. 7
  10. 10
  11. 20
  12. 5
  13. 15
  14. 3
  15. 17
  16. 40
  17. 20
  18. 19
  19. 150
  20. 23
  21. 5
  22. 4
  23. 23
  24. 12
  25. 12
  26. 1
  27. 19
  28. 6
  29. 10
  30. 25
  31. 6
  32. 18
  33. 14
  34. 480
  35. 16
  36. 15
  37. 50
  38. 300
  39. 200
  40. 14

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