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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 863 · 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 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  3. 3.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  6. 6.A boat goes 65 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  8. 8.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  9. 9.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  10. 10.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.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 70 km upstream and come back?
  12. 12.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  13. 13.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  17. 17.Two trains, 190 m and 90 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?
  18. 18.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 70 m and 210 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?
  21. 21.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  25. 25.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  27. 27.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  29. 29.Two trains, 50 m and 230 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?
  30. 30.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  31. 31.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 33 km upstream and come back?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  33. 33.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  34. 34.Two trains, 190 m and 125 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?
  35. 35.Two trains, 50 m and 130 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?
  36. 36.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  37. 37.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 120 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?

Answer key

  1. 11
  2. 21
  3. 15
  4. 8
  5. 42
  6. 12
  7. 22
  8. 120
  9. 380
  10. 24
  11. 24
  12. 40
  13. 270
  14. 27
  15. 20
  16. 33
  17. 8
  18. 13
  19. 1
  20. 7
  21. 25
  22. 260
  23. 125
  24. 37
  25. 190
  26. 34
  27. 37
  28. 18
  29. 8
  30. 25
  31. 36
  32. 11
  33. 525
  34. 9
  35. 6
  36. 575
  37. 28
  38. 435
  39. 29
  40. 8

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