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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 283 · 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 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  2. 2.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 80 m and 95 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?
  4. 4.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?
  5. 5.Two trains, 110 m and 190 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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)?
  8. 8.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.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 108 km upstream and come back?
  11. 11.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  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 60 km upstream and come back?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  14. 14.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  15. 15.Two trains, 100 m and 60 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  17. 17.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  21. 21.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  22. 22.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  25. 25.Two trains, 190 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  29. 29.Two trains, 170 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  30. 30.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  32. 32.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 110 km upstream and come back?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 80 km upstream and come back?
  34. 34.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 96 km upstream and come back?
  35. 35.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?
  36. 36.Two trains, 240 m and 110 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?
  37. 37.A boat goes 52 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)?
  38. 38.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 80 m and 280 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  40. 40.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?

Answer key

  1. 38
  2. 16
  3. 5
  4. 33
  5. 10
  6. 11
  7. 1
  8. 30
  9. 15
  10. 45
  11. 20
  12. 21
  13. 22
  14. 27
  15. 8
  16. 140
  17. 11
  18. 4
  19. 1
  20. 480
  21. 575
  22. 9
  23. 20
  24. 195
  25. 12
  26. 3
  27. 9
  28. 18
  29. 11
  30. 28
  31. 24
  32. 32
  33. 44
  34. 40
  35. 5
  36. 7
  37. 9
  38. 6
  39. 12
  40. 220

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