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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 157 · 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 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  2. 2.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  4. 4.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  9. 9.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  13. 13.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  17. 17.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  18. 18.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  19. 19.A boat goes 52 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)?
  20. 20.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 55 km upstream and come back?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  22. 22.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)?
  23. 23.A boat goes 38 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  25. 25.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  26. 26.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 90 m and 135 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?
  28. 28.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  29. 29.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.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?
  31. 31.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 84 km upstream and come back?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  36. 36.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 170 m and 280 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?
  38. 38.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 180 m and 170 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  40. 40.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?

Answer key

  1. 30
  2. 9
  3. 42
  4. 5
  5. 41
  6. 5
  7. 28
  8. 150
  9. 14
  10. 22
  11. 2
  12. 25
  13. 30
  14. 20
  15. 16
  16. 24
  17. 280
  18. 25
  19. 12
  20. 60
  21. 20
  22. 8
  23. 3
  24. 40
  25. 18
  26. 7
  27. 9
  28. 240
  29. 1
  30. 14
  31. 35
  32. 9
  33. 4
  34. 3
  35. 540
  36. 15
  37. 10
  38. 5
  39. 10
  40. 21

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