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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 146 · 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 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  3. 3.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 88 km upstream and come back?
  4. 4.A boat goes 40 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)?
  5. 5.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  6. 6.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.Two trains, 160 m and 245 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?
  9. 9.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.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 48 km upstream and come back?
  12. 12.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 190 m and 125 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?
  14. 14.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  15. 15.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  17. 17.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 16 km upstream and come back?
  19. 19.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  21. 21.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  24. 24.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  28. 28.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 130 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  35. 35.Two trains, 200 m and 120 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?
  36. 36.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 200 m and 240 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?

Answer key

  1. 2
  2. 23
  3. 26
  4. 15
  5. 18
  6. 28
  7. 24
  8. 9
  9. 1
  10. 5
  11. 14
  12. 15
  13. 9
  14. 24
  15. 18
  16. 30
  17. 390
  18. 5
  19. 17
  20. 33
  21. 19
  22. 6
  23. 300
  24. 13
  25. 20
  26. 14
  27. 15
  28. 4
  29. 6
  30. 12
  31. 1
  32. 1
  33. 8
  34. 600
  35. 8
  36. 11
  37. 20
  38. 11
  39. 15
  40. 25

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