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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 748 · 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.Two trains, 70 m and 55 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?
  2. 2.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  3. 3.Two trains, 190 m and 290 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?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  5. 5.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)?
  6. 6.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  7. 7.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  8. 8.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  9. 9.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  11. 11.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  12. 12.Two trains, 60 m and 240 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?
  13. 13.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  14. 14.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  16. 16.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 60 km upstream and come back?
  17. 17.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  18. 18.Two trains, 50 m and 125 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?
  19. 19.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  20. 20.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  23. 23.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  29. 29.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.Two trains, 180 m and 65 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  33. 33.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  35. 35.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.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)?
  39. 39.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?

Answer key

  1. 5
  2. 160
  3. 12
  4. 18
  5. 5
  6. 200
  7. 26
  8. 16
  9. 120
  10. 39
  11. 37
  12. 12
  13. 725
  14. 70
  15. 42
  16. 33
  17. 20
  18. 7
  19. 12
  20. 7
  21. 10
  22. 22
  23. 11
  24. 12
  25. 20
  26. 18
  27. 16
  28. 20
  29. 100
  30. 7
  31. 16
  32. 18
  33. 2
  34. 19
  35. 135
  36. 14
  37. 11
  38. 5
  39. 25
  40. 33

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