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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 716 · 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 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  3. 3.Two trains, 170 m and 160 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?
  4. 4.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.Two trains, 90 m and 450 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?
  7. 7.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 90 m and 70 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?
  10. 10.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.Two trains, 50 m and 150 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?
  13. 13.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 80 m and 160 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?
  16. 16.Two trains, 150 m and 50 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?
  17. 17.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  18. 18.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  19. 19.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  20. 20.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  23. 23.Two trains, 140 m and 110 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?
  24. 24.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  25. 25.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  28. 28.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 70 m and 140 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?
  30. 30.Two trains, 70 m and 200 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?
  31. 31.Two trains, 80 m and 165 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?
  32. 32.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  35. 35.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 100 km upstream and come back?
  36. 36.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 18 km upstream and come back?
  37. 37.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  38. 38.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.Two trains, 60 m and 115 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?
  40. 40.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 15
  2. 24
  3. 11
  4. 5
  5. 180
  6. 12
  7. 30
  8. 25
  9. 4
  10. 11
  11. 200
  12. 10
  13. 30
  14. 4
  15. 8
  16. 5
  17. 11
  18. 18
  19. 19
  20. 22
  21. 19
  22. 10
  23. 10
  24. 14
  25. 8
  26. 210
  27. 675
  28. 12
  29. 7
  30. 9
  31. 7
  32. 2
  33. 6
  34. 220
  35. 30
  36. 20
  37. 27
  38. 380
  39. 7
  40. 7

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