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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 110 · 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 boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 12 km upstream and come back?
  2. 2.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  4. 4.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  5. 5.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 130 m and 230 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?
  7. 7.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  8. 8.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  9. 9.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  10. 10.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.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)?
  14. 14.A boat goes 28 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)?
  15. 15.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 230 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  20. 20.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  23. 23.Two trains, 50 m and 230 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?
  24. 24.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)?
  25. 25.Two trains, 150 m and 300 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.Two trains, 210 m and 105 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?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  28. 28.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  30. 30.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 80 m and 280 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?
  32. 32.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 90 m and 150 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?
  34. 34.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 16 km upstream and come back?
  35. 35.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  36. 36.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  38. 38.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  39. 39.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.Two trains, 80 m and 320 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?

Answer key

  1. 7
  2. 18
  3. 260
  4. 23
  5. 4
  6. 9
  7. 20
  8. 12
  9. 240
  10. 27
  11. 11
  12. 4
  13. 2
  14. 12
  15. 12
  16. 5
  17. 6
  18. 14
  19. 200
  20. 28
  21. 20
  22. 150
  23. 8
  24. 19
  25. 10
  26. 7
  27. 15
  28. 2
  29. 22
  30. 8
  31. 8
  32. 3
  33. 8
  34. 10
  35. 405
  36. 37
  37. 27
  38. 12
  39. 90
  40. 10

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