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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 736 · 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 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.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)?
  3. 3.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  4. 4.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  8. 8.Two trains, 60 m and 115 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?
  9. 9.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  10. 10.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  12. 12.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  14. 14.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  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 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  18. 18.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  22. 22.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.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 36 km upstream and come back?
  25. 25.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 120 km upstream and come back?
  26. 26.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  29. 29.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)?
  30. 30.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  31. 31.Two trains, 70 m and 210 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?
  32. 32.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  33. 33.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  34. 34.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 180 m and 225 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?
  36. 36.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  37. 37.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 42 km upstream and come back?
  38. 38.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 80 km upstream and come back?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?

Answer key

  1. 180
  2. 4
  3. 25
  4. 21
  5. 15
  6. 250
  7. 17
  8. 7
  9. 4
  10. 32
  11. 16
  12. 24
  13. 8
  14. 2
  15. 75
  16. 30
  17. 42
  18. 11
  19. 2
  20. 11
  21. 280
  22. 90
  23. 130
  24. 11
  25. 42
  26. 30
  27. 6
  28. 26
  29. 3
  30. 125
  31. 8
  32. 32
  33. 70
  34. 11
  35. 9
  36. 135
  37. 20
  38. 30
  39. 15
  40. 29

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