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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 34 · 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 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 120 m and 200 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?
  4. 4.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  6. 6.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 210 m and 270 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?
  9. 9.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  10. 10.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 200 m and 295 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?
  15. 15.Two trains, 210 m and 60 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?
  16. 16.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  17. 17.Two trains, 160 m and 280 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?
  18. 18.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  19. 19.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  20. 20.A boat goes 70 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.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 78 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.Two trains, 60 m and 390 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?
  25. 25.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes 39 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)?
  28. 28.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  31. 31.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.Two trains, 60 m and 60 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?
  34. 34.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?
  35. 35.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.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 45 km upstream and come back?
  38. 38.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  40. 40.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 30
  2. 5
  3. 8
  4. 16
  5. 450
  6. 7
  7. 10
  8. 12
  9. 135
  10. 29
  11. 350
  12. 25
  13. 24
  14. 11
  15. 9
  16. 150
  17. 11
  18. 580
  19. 22
  20. 3
  21. 80
  22. 70
  23. 475
  24. 10
  25. 27
  26. 3
  27. 9
  28. 20
  29. 14
  30. 32
  31. 20
  32. 2
  33. 6
  34. 16
  35. 14
  36. 9
  37. 14
  38. 18
  39. 275
  40. 11

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