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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 396 · 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 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 72 km upstream and come back?
  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 boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  6. 6.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.Two trains, 240 m and 60 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?
  9. 9.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  10. 10.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  14. 14.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  17. 17.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  18. 18.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 68 km upstream and come back?
  19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 88 km upstream and come back?
  21. 21.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  23. 23.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  25. 25.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  27. 27.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 117 km upstream and come back?
  30. 30.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  31. 31.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 70 m and 200 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?
  36. 36.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  38. 38.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 21
  3. 8
  4. 2
  5. 300
  6. 33
  7. 7
  8. 12
  9. 240
  10. 580
  11. 19
  12. 28
  13. 34
  14. 29
  15. 9
  16. 29
  17. 29
  18. 72
  19. 29
  20. 48
  21. 3
  22. 120
  23. 10
  24. 285
  25. 3
  26. 14
  27. 5
  28. 15
  29. 52
  30. 15
  31. 28
  32. 31
  33. 21
  34. 30
  35. 6
  36. 30
  37. 120
  38. 27
  39. 32
  40. 13

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