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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 135 · 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 14 seconds. How long is the train (in metres)?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  3. 3.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  10. 10.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 60 km upstream and come back?
  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 7 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?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  14. 14.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  17. 17.Two trains, 210 m and 175 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  18. 18.Two trains, 200 m and 115 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?
  19. 19.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  22. 22.Two trains, 120 m and 120 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?
  23. 23.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.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 54 km upstream and come back?
  25. 25.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  27. 27.Two trains, 220 m and 95 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?
  28. 28.Two trains, 60 m and 165 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?
  29. 29.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 39 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)?
  31. 31.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  32. 32.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  33. 33.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  35. 35.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  36. 36.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  38. 38.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  39. 39.Two trains, 90 m and 190 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?
  40. 40.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?

Answer key

  1. 140
  2. 35
  3. 1
  4. 2
  5. 2
  6. 20
  7. 520
  8. 4
  9. 21
  10. 35
  11. 24
  12. 28
  13. 33
  14. 2
  15. 7
  16. 24
  17. 11
  18. 9
  19. 18
  20. 26
  21. 22
  22. 6
  23. 5
  24. 24
  25. 35
  26. 24
  27. 7
  28. 9
  29. 7
  30. 12
  31. 21
  32. 28
  33. 28
  34. 33
  35. 4
  36. 5
  37. 210
  38. 18
  39. 8
  40. 8

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