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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 97 · 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 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 32 km upstream and come back?
  2. 2.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  3. 3.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  6. 6.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  7. 7.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  9. 9.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  16. 16.Two trains, 180 m and 120 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?
  17. 17.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  18. 18.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 48 km upstream and come back?
  19. 19.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  20. 20.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  21. 21.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  22. 22.Two trains, 140 m and 190 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  23. 23.Two trains, 130 m and 170 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?
  24. 24.Two trains, 80 m and 340 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?
  25. 25.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  26. 26.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  27. 27.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 110 m and 50 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.Two trains, 60 m and 420 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?
  30. 30.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  31. 31.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 54 km upstream and come back?
  34. 34.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  38. 38.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  40. 40.A boat goes 66 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 5
  2. 31
  3. 6
  4. 2
  5. 20
  6. 28
  7. 450
  8. 34
  9. 255
  10. 5
  11. 19
  12. 25
  13. 2
  14. 25
  15. 18
  16. 10
  17. 420
  18. 27
  19. 32
  20. 34
  21. 33
  22. 11
  23. 12
  24. 12
  25. 30
  26. 20
  27. 6
  28. 8
  29. 12
  30. 30
  31. 5
  32. 14
  33. 60
  34. 190
  35. 15
  36. 16
  37. 22
  38. 23
  39. 16
  40. 5

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