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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 271 · 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 28 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  3. 3.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  4. 4.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?
  6. 6.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)?
  7. 7.A boat goes 70 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)?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 90 km upstream and come back?
  9. 9.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  10. 10.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  14. 14.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 180 m and 70 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?
  17. 17.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  19. 19.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  20. 20.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  23. 23.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  24. 24.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  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 96 km upstream and come back?
  27. 27.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  30. 30.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  31. 31.Two trains, 160 m and 65 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?
  32. 32.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  33. 33.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  34. 34.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  35. 35.Two trains, 130 m and 140 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?
  36. 36.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  39. 39.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 84 km upstream and come back?
  40. 40.A boat goes 48 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 560
  2. 12
  3. 29
  4. 460
  5. 42
  6. 3
  7. 12
  8. 96
  9. 34
  10. 11
  11. 20
  12. 11
  13. 33
  14. 100
  15. 3
  16. 10
  17. 5
  18. 23
  19. 36
  20. 5
  21. 17
  22. 22
  23. 22
  24. 7
  25. 12
  26. 36
  27. 1
  28. 7
  29. 29
  30. 340
  31. 5
  32. 26
  33. 240
  34. 18
  35. 9
  36. 170
  37. 12
  38. 675
  39. 28
  40. 11

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