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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 71 · 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 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  2. 2.Two trains, 150 m and 95 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  3. 3.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  5. 5.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 108 km upstream and come back?
  8. 8.Two trains, 110 m and 100 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?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  10. 10.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  11. 11.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  12. 12.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  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 20 km upstream and come back?
  14. 14.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 48 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)?
  16. 16.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  17. 17.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  18. 18.Two trains, 240 m and 80 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?
  19. 19.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  20. 20.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  22. 22.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  23. 23.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  25. 25.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.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?
  29. 29.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?
  30. 30.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  32. 32.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  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 96 km upstream and come back?
  34. 34.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.Two trains, 80 m and 100 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.A boat goes 60 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)?
  38. 38.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  39. 39.Two trains, 140 m and 160 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?
  40. 40.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 117 km upstream and come back?

Answer key

  1. 20
  2. 7
  3. 8
  4. 24
  5. 8
  6. 5
  7. 27
  8. 6
  9. 36
  10. 23
  11. 750
  12. 18
  13. 7
  14. 20
  15. 11
  16. 625
  17. 500
  18. 8
  19. 360
  20. 275
  21. 54
  22. 20
  23. 22
  24. 14
  25. 20
  26. 4
  27. 29
  28. 22
  29. 10
  30. 675
  31. 21
  32. 11
  33. 56
  34. 14
  35. 28
  36. 4
  37. 10
  38. 600
  39. 12
  40. 126

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