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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 193 · 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 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  3. 3.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  4. 4.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  6. 6.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 63 km upstream and come back?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  12. 12.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  13. 13.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 9 km upstream and come back?
  15. 15.Two trains, 210 m and 105 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  16. 16.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?
  17. 17.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 60 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?
  21. 21.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 25 km upstream and come back?
  22. 22.Two trains, 190 m and 290 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?
  23. 23.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 44 km upstream and come back?
  24. 24.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?
  25. 25.Two trains, 200 m and 130 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 boat goes at 13 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?
  27. 27.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 160 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?
  29. 29.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  30. 30.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  31. 31.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?
  32. 32.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  33. 33.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  34. 34.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 60 km upstream and come back?
  37. 37.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  38. 38.Two trains, 150 m and 270 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?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 50 m and 335 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?

Answer key

  1. 16
  2. 25
  3. 560
  4. 20
  5. 16
  6. 28
  7. 10
  8. 24
  9. 14
  10. 15
  11. 24
  12. 44
  13. 19
  14. 4
  15. 9
  16. 44
  17. 3
  18. 11
  19. 16
  20. 4
  21. 26
  22. 12
  23. 24
  24. 12
  25. 11
  26. 13
  27. 25
  28. 11
  29. 28
  30. 2
  31. 24
  32. 170
  33. 700
  34. 220
  35. 11
  36. 17
  37. 350
  38. 12
  39. 9
  40. 11

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