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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 79 · 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 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  2. 2.Two trains, 50 m and 265 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?
  3. 3.Two trains, 80 m and 305 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?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  5. 5.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  6. 6.Two trains, 80 m and 160 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?
  7. 7.Two trains, 160 m and 440 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?
  8. 8.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  9. 9.Two trains, 80 m and 120 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?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  11. 11.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  14. 14.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  17. 17.Two trains, 60 m and 180 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?
  18. 18.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 100 m and 110 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?
  22. 22.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  23. 23.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  25. 25.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?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 75 km upstream and come back?
  28. 28.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  29. 29.Two trains, 140 m and 340 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?
  30. 30.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  31. 31.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  32. 32.Two trains, 130 m and 190 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?
  33. 33.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  34. 34.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)?
  35. 35.Two trains, 50 m and 350 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?
  36. 36.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.Two trains, 70 m and 130 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?
  38. 38.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  39. 39.Two trains, 110 m and 70 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?
  40. 40.A boat goes at 8 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?

Answer key

  1. 32
  2. 9
  3. 11
  4. 13
  5. 4
  6. 12
  7. 12
  8. 5
  9. 8
  10. 40
  11. 25
  12. 4
  13. 340
  14. 29
  15. 27
  16. 100
  17. 8
  18. 6
  19. 23
  20. 13
  21. 6
  22. 675
  23. 6
  24. 375
  25. 16
  26. 16
  27. 18
  28. 30
  29. 12
  30. 19
  31. 26
  32. 8
  33. 30
  34. 4
  35. 10
  36. 36
  37. 10
  38. 525
  39. 6
  40. 24

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