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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 164 · 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 running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  2. 2.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 190 m and 110 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?
  4. 4.Two trains, 240 m and 145 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?
  5. 5.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 12 km upstream and come back?
  6. 6.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  7. 7.Two trains, 160 m and 200 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?
  8. 8.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  10. 10.Two trains, 70 m and 290 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.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 24 km upstream and come back?
  12. 12.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  17. 17.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  22. 22.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)?
  23. 23.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 120 km upstream and come back?
  24. 24.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  25. 25.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  26. 26.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 200 m and 100 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?
  28. 28.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  31. 31.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 58 km upstream and come back?
  33. 33.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  35. 35.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  38. 38.Two trains, 140 m and 60 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?
  39. 39.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 200
  2. 27
  3. 10
  4. 11
  5. 5
  6. 100
  7. 12
  8. 160
  9. 25
  10. 8
  11. 14
  12. 24
  13. 27
  14. 22
  15. 19
  16. 34
  17. 5
  18. 10
  19. 8
  20. 10
  21. 16
  22. 14
  23. 64
  24. 300
  25. 19
  26. 9
  27. 10
  28. 220
  29. 9
  30. 40
  31. 90
  32. 60
  33. 6
  34. 13
  35. 20
  36. 20
  37. 460
  38. 5
  39. 5
  40. 7

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