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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 111 · 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.Two trains, 170 m and 70 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?
  2. 2.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  4. 4.Two trains, 60 m and 270 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?
  5. 5.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 140 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?
  8. 8.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  9. 9.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  11. 11.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?
  12. 12.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  13. 13.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 40 km upstream and come back?
  14. 14.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?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  16. 16.Two trains, 170 m and 110 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?
  17. 17.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  18. 18.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  22. 22.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 16 km upstream and come back?
  23. 23.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.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?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  26. 26.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 80 km upstream and come back?
  27. 27.Two trains, 80 m and 195 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?
  28. 28.Two trains, 80 m and 200 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?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  30. 30.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  31. 31.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?
  32. 32.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)?
  33. 33.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  34. 34.A boat goes 64 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.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 24 km upstream and come back?
  36. 36.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  38. 38.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?

Answer key

  1. 12
  2. 105
  3. 10
  4. 11
  5. 22
  6. 1
  7. 6
  8. 35
  9. 10
  10. 23
  11. 22
  12. 220
  13. 14
  14. 32
  15. 33
  16. 8
  17. 675
  18. 540
  19. 13
  20. 16
  21. 28
  22. 6
  23. 24
  24. 14
  25. 10
  26. 30
  27. 11
  28. 8
  29. 30
  30. 24
  31. 8
  32. 7
  33. 125
  34. 4
  35. 10
  36. 9
  37. 290
  38. 21
  39. 21
  40. 24

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