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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 566 · 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 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  2. 2.Two trains, 160 m and 115 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 running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.Two trains, 170 m and 100 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  6. 6.Two trains, 150 m and 60 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?
  7. 7.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?
  8. 8.Two trains, 70 m and 130 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?
  9. 9.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  11. 11.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  14. 14.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  16. 16.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.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)?
  18. 18.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  20. 20.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 60 m and 255 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 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  24. 24.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  26. 26.A boat goes 46 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.Two trains, 170 m and 180 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?
  28. 28.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 250 m and 110 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?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  31. 31.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  33. 33.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  34. 34.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  40. 40.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 31
  2. 11
  3. 520
  4. 6
  5. 6
  6. 6
  7. 20
  8. 5
  9. 24
  10. 21
  11. 8
  12. 17
  13. 24
  14. 14
  15. 32
  16. 1
  17. 18
  18. 5
  19. 26
  20. 3
  21. 9
  22. 1
  23. 14
  24. 21
  25. 38
  26. 19
  27. 10
  28. 2
  29. 9
  30. 28
  31. 22
  32. 285
  33. 150
  34. 10
  35. 3
  36. 24
  37. 22
  38. 160
  39. 17
  40. 25

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