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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 713 · 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, 180 m and 220 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?
  2. 2.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  3. 3.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  7. 7.Two trains, 80 m and 220 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 boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  9. 9.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  10. 10.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 102 km upstream and come back?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  13. 13.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  14. 14.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  16. 16.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  17. 17.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?
  18. 18.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 70 m and 410 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?
  20. 20.A boat goes 39 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 130 m and 80 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?
  22. 22.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  23. 23.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  25. 25.A boat goes 80 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  29. 29.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  30. 30.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  31. 31.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 50 m and 280 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?
  33. 33.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?
  34. 34.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  35. 35.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  36. 36.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.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?
  39. 39.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?

Answer key

  1. 10
  2. 130
  3. 4
  4. 8
  5. 9
  6. 14
  7. 10
  8. 40
  9. 23
  10. 4
  11. 20
  12. 33
  13. 26
  14. 5
  15. 290
  16. 20
  17. 8
  18. 8
  19. 12
  20. 1
  21. 6
  22. 24
  23. 105
  24. 8
  25. 15
  26. 20
  27. 24
  28. 19
  29. 34
  30. 27
  31. 29
  32. 11
  33. 22
  34. 25
  35. 41
  36. 435
  37. 19
  38. 33
  39. 7
  40. 14

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