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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 695 · 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 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  4. 4.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 30 km upstream and come back?
  5. 5.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 21 km upstream and come back?
  10. 10.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 50 m and 310 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?
  12. 12.Two trains, 70 m and 170 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?
  13. 13.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 85 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)?
  15. 15.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  17. 17.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  18. 18.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.Two trains, 200 m and 70 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?
  20. 20.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  24. 24.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.Two trains, 70 m and 80 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?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 70 m and 245 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?
  28. 28.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 18 km upstream and come back?
  29. 29.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  30. 30.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.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 44 km upstream and come back?
  33. 33.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  34. 34.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  36. 36.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  37. 37.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  40. 40.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?

Answer key

  1. 3
  2. 16
  3. 29
  4. 16
  5. 30
  6. 240
  7. 20
  8. 19
  9. 8
  10. 4
  11. 9
  12. 12
  13. 21
  14. 13
  15. 20
  16. 32
  17. 19
  18. 20
  19. 9
  20. 20
  21. 11
  22. 4
  23. 210
  24. 33
  25. 5
  26. 7
  27. 9
  28. 4
  29. 250
  30. 19
  31. 13
  32. 13
  33. 200
  34. 4
  35. 400
  36. 27
  37. 24
  38. 7
  39. 120
  40. 35

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