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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 971 · 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 boat goes 30 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)?
  2. 2.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  3. 3.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  4. 4.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 96 km upstream and come back?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 28 km upstream and come back?
  8. 8.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  9. 9.A boat goes 22 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  11. 11.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.Two trains, 70 m and 55 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?
  13. 13.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  14. 14.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 110 m and 310 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?
  20. 20.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  21. 21.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  25. 25.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  28. 28.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 70 km upstream and come back?
  29. 29.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  30. 30.A boat goes 51 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  32. 32.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  37. 37.Two trains, 130 m and 350 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes at 7 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?
  39. 39.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 40
  3. 19
  4. 24
  5. 5
  6. 54
  7. 15
  8. 18
  9. 3
  10. 24
  11. 1
  12. 5
  13. 300
  14. 28
  15. 10
  16. 9
  17. 3
  18. 18
  19. 12
  20. 170
  21. 1
  22. 14
  23. 23
  24. 480
  25. 19
  26. 150
  27. 325
  28. 24
  29. 35
  30. 5
  31. 12
  32. 30
  33. 375
  34. 14
  35. 2
  36. 37
  37. 12
  38. 7
  39. 560
  40. 5

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