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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 120 · 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, 120 m and 210 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  4. 4.Two trains, 100 m and 175 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?
  5. 5.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  7. 7.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  8. 8.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  9. 9.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  11. 11.Two trains, 170 m and 145 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?
  12. 12.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  17. 17.Two trains, 60 m and 240 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.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?
  19. 19.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.Two trains, 110 m and 170 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?
  21. 21.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 33 km upstream and come back?
  24. 24.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 120 m and 180 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?
  26. 26.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 14 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?
  28. 28.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.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 28 km upstream and come back?
  33. 33.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.Two trains, 130 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?
  35. 35.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 70 m and 105 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?
  38. 38.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  39. 39.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 11
  2. 2
  3. 25
  4. 11
  5. 13
  6. 44
  7. 13
  8. 33
  9. 6
  10. 135
  11. 9
  12. 20
  13. 12
  14. 5
  15. 16
  16. 20
  17. 10
  18. 12
  19. 19
  20. 7
  21. 6
  22. 19
  23. 36
  24. 29
  25. 12
  26. 26
  27. 14
  28. 27
  29. 120
  30. 3
  31. 5
  32. 9
  33. 18
  34. 11
  35. 5
  36. 1
  37. 5
  38. 25
  39. 20
  40. 34

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