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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 509 · 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 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  2. 2.Two trains, 190 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?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  4. 4.Two trains, 160 m and 110 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?
  5. 5.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 30 km upstream and come back?
  6. 6.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  10. 10.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  12. 12.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 117 km upstream and come back?
  14. 14.A boat goes 105 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 160 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?
  17. 17.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  18. 18.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  20. 20.Two trains, 140 m and 245 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?
  21. 21.Two trains, 240 m and 90 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?
  22. 22.Two trains, 80 m and 95 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?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  24. 24.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 220 m and 80 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 boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.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?
  30. 30.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  32. 32.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 140 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?
  37. 37.Two trains, 100 m and 75 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?
  38. 38.Two trains, 50 m and 200 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?
  39. 39.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  40. 40.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 34
  2. 6
  3. 10
  4. 9
  5. 4
  6. 195
  7. 4
  8. 7
  9. 16
  10. 45
  11. 32
  12. 255
  13. 120
  14. 3
  15. 10
  16. 10
  17. 285
  18. 20
  19. 32
  20. 11
  21. 11
  22. 5
  23. 18
  24. 8
  25. 12
  26. 4
  27. 31
  28. 21
  29. 44
  30. 480
  31. 27
  32. 1
  33. 500
  34. 27
  35. 6
  36. 7
  37. 7
  38. 10
  39. 22
  40. 10

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