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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 764 · 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 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  3. 3.Two trains, 90 m and 185 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?
  4. 4.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  6. 6.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  7. 7.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  8. 8.A boat goes 38 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)?
  9. 9.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?
  10. 10.Two trains, 230 m and 50 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?
  11. 11.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.Two trains, 140 m and 105 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?
  14. 14.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 80 km upstream and come back?
  15. 15.Two trains, 70 m and 260 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes 52 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)?
  17. 17.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  18. 18.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.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 55 km upstream and come back?
  20. 20.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 150 m and 75 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?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 60 m and 390 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?
  24. 24.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  25. 25.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?
  26. 26.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  28. 28.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  29. 29.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.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 20 km upstream and come back?
  31. 31.Two trains, 210 m and 90 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?
  32. 32.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  33. 33.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 12 km upstream and come back?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 42 km upstream and come back?
  35. 35.Two trains, 150 m and 210 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?
  36. 36.Two trains, 90 m and 160 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 at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  38. 38.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  39. 39.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 110 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?

Answer key

  1. 22
  2. 230
  3. 11
  4. 29
  5. 25
  6. 21
  7. 23
  8. 18
  9. 8
  10. 7
  11. 435
  12. 475
  13. 7
  14. 28
  15. 11
  16. 11
  17. 36
  18. 29
  19. 16
  20. 2
  21. 9
  22. 6
  23. 9
  24. 28
  25. 45
  26. 12
  27. 225
  28. 135
  29. 17
  30. 7
  31. 12
  32. 27
  33. 7
  34. 24
  35. 9
  36. 5
  37. 14
  38. 120
  39. 18
  40. 6

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