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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 450 · 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 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  2. 2.Two trains, 50 m and 230 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?
  3. 3.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  4. 4.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 105 km upstream and come back?
  6. 6.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  8. 8.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 60 km upstream and come back?
  12. 12.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.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 75 km upstream and come back?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  15. 15.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  17. 17.Two trains, 70 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.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 99 km upstream and come back?
  19. 19.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  22. 22.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 100 m and 380 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?
  24. 24.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 24 km upstream and come back?
  25. 25.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  26. 26.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 42 km upstream and come back?
  28. 28.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  29. 29.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  31. 31.Two trains, 210 m and 110 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?
  32. 32.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  34. 34.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 50 m and 50 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?
  36. 36.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  37. 37.Two trains, 70 m and 180 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?
  38. 38.Two trains, 100 m and 200 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  40. 40.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?

Answer key

  1. 345
  2. 8
  3. 105
  4. 14
  5. 42
  6. 7
  7. 360
  8. 5
  9. 20
  10. 435
  11. 12
  12. 15
  13. 78
  14. 27
  15. 1
  16. 10
  17. 4
  18. 108
  19. 4
  20. 275
  21. 7
  22. 14
  23. 12
  24. 5
  25. 34
  26. 575
  27. 44
  28. 475
  29. 12
  30. 100
  31. 8
  32. 1
  33. 21
  34. 7
  35. 4
  36. 22
  37. 10
  38. 10
  39. 14
  40. 30

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