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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 176 · 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 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  2. 2.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  3. 3.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?
  4. 4.Two trains, 100 m and 200 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?
  5. 5.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 120 m and 380 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?
  8. 8.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  9. 9.Two trains, 80 m and 70 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?
  10. 10.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  11. 11.Two trains, 50 m and 250 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?
  12. 12.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  17. 17.Two trains, 100 m and 260 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?
  18. 18.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  20. 20.Two trains, 90 m and 160 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?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  22. 22.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  26. 26.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  28. 28.A boat goes 40 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)?
  29. 29.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 56 km upstream and come back?
  30. 30.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 120 m and 80 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?
  32. 32.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)?
  33. 33.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?
  34. 34.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  37. 37.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  38. 38.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 16
  2. 100
  3. 5
  4. 12
  5. 140
  6. 13
  7. 10
  8. 25
  9. 5
  10. 30
  11. 10
  12. 30
  13. 3
  14. 2
  15. 6
  16. 420
  17. 9
  18. 25
  19. 19
  20. 10
  21. 6
  22. 1
  23. 27
  24. 13
  25. 42
  26. 30
  27. 18
  28. 7
  29. 16
  30. 22
  31. 10
  32. 9
  33. 18
  34. 19
  35. 27
  36. 20
  37. 16
  38. 4
  39. 5
  40. 8

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