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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 588 · 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 running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  2. 2.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  3. 3.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 24 km upstream and come back?
  4. 4.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.Two trains, 80 m and 240 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?
  6. 6.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  7. 7.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  11. 11.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  13. 13.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  18. 18.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  19. 19.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 88 km upstream and come back?
  20. 20.Two trains, 110 m and 190 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?
  21. 21.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  22. 22.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  24. 24.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 55 km upstream and come back?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 12 km upstream and come back?
  26. 26.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 12 km upstream and come back?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  29. 29.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  30. 30.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  31. 31.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  32. 32.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  33. 33.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  35. 35.Two trains, 160 m and 85 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?
  36. 36.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 56 km upstream and come back?
  39. 39.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 63 km upstream and come back?
  40. 40.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 50
  2. 43
  3. 9
  4. 25
  5. 8
  6. 33
  7. 26
  8. 27
  9. 9
  10. 13
  11. 1
  12. 60
  13. 5
  14. 7
  15. 23
  16. 16
  17. 475
  18. 70
  19. 26
  20. 6
  21. 29
  22. 17
  23. 28
  24. 16
  25. 7
  26. 2
  27. 5
  28. 26
  29. 450
  30. 27
  31. 12
  32. 17
  33. 3
  34. 36
  35. 7
  36. 25
  37. 35
  38. 30
  39. 28
  40. 29

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