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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 954 · 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 boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 96 km upstream and come back?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 100 m and 100 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?
  4. 4.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  5. 5.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  7. 7.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 180 m and 140 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 160 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?
  12. 12.Two trains, 60 m and 65 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?
  13. 13.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  16. 16.Two trains, 70 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?
  17. 17.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  20. 20.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  22. 22.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  23. 23.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  26. 26.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 60 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  28. 28.Two trains, 70 m and 290 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?
  29. 29.Two trains, 180 m and 60 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?
  30. 30.Two trains, 130 m and 150 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?
  31. 31.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.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 33 km upstream and come back?
  34. 34.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  35. 35.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 100 km upstream and come back?
  37. 37.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  40. 40.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?

Answer key

  1. 27
  2. 11
  3. 5
  4. 125
  5. 1
  6. 32
  7. 7
  8. 12
  9. 8
  10. 6
  11. 7
  12. 5
  13. 450
  14. 100
  15. 25
  16. 6
  17. 16
  18. 12
  19. 435
  20. 15
  21. 26
  22. 24
  23. 3
  24. 14
  25. 50
  26. 18
  27. 2
  28. 12
  29. 8
  30. 8
  31. 19
  32. 20
  33. 36
  34. 450
  35. 21
  36. 15
  37. 17
  38. 300
  39. 26
  40. 13

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