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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 956 · 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 at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  2. 2.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 70 m and 70 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?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  7. 7.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  9. 9.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 80 m and 235 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?
  11. 11.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  12. 12.Two trains, 140 m and 60 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.Two trains, 60 m and 435 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  17. 17.Two trains, 70 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  18. 18.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  22. 22.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?
  23. 23.Two trains, 90 m and 410 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  25. 25.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  28. 28.Two trains, 140 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  29. 29.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.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)?
  34. 34.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.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?
  36. 36.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  40. 40.Two trains, 250 m and 50 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?

Answer key

  1. 28
  2. 1
  3. 23
  4. 7
  5. 4
  6. 37
  7. 26
  8. 17
  9. 11
  10. 9
  11. 9
  12. 8
  13. 11
  14. 1
  15. 2
  16. 30
  17. 6
  18. 7
  19. 8
  20. 22
  21. 35
  22. 10
  23. 10
  24. 22
  25. 1
  26. 180
  27. 33
  28. 7
  29. 20
  30. 15
  31. 1
  32. 60
  33. 3
  34. 8
  35. 42
  36. 400
  37. 18
  38. 290
  39. 21
  40. 10

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