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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 199 · 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 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.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)?
  4. 4.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.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 105 km upstream and come back?
  6. 6.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  9. 9.A boat goes 32 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 80 m and 145 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?
  11. 11.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  16. 16.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  18. 18.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  20. 20.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?
  21. 21.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.Two trains, 90 m and 350 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?
  29. 29.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  32. 32.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  34. 34.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  35. 35.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  36. 36.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  37. 37.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  39. 39.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  40. 40.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?

Answer key

  1. 9
  2. 14
  3. 4
  4. 3
  5. 50
  6. 8
  7. 10
  8. 24
  9. 3
  10. 9
  11. 1
  12. 4
  13. 17
  14. 25
  15. 15
  16. 30
  17. 195
  18. 23
  19. 38
  20. 34
  21. 1
  22. 16
  23. 6
  24. 20
  25. 15
  26. 23
  27. 35
  28. 11
  29. 270
  30. 5
  31. 29
  32. 27
  33. 31
  34. 340
  35. 41
  36. 12
  37. 9
  38. 540
  39. 37
  40. 21

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