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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 974 · 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 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  4. 4.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.Two trains, 190 m and 80 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?
  7. 7.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.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)?
  11. 11.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  13. 13.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  15. 15.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  16. 16.Two trains, 130 m and 275 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?
  17. 17.Two trains, 160 m and 240 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?
  18. 18.Two trains, 200 m and 100 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?
  19. 19.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 120 m and 130 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 train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 16 km upstream and come back?
  27. 27.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 675 m long runs at 90 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 8 seconds. How long is the train (in metres)?
  35. 35.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  36. 36.Two trains, 230 m and 100 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?
  37. 37.Two trains, 220 m and 95 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?
  38. 38.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.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 112 km upstream and come back?
  40. 40.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 64 km upstream and come back?

Answer key

  1. 20
  2. 2
  3. 375
  4. 19
  5. 100
  6. 9
  7. 9
  8. 7
  9. 21
  10. 5
  11. 2
  12. 11
  13. 1
  14. 34
  15. 25
  16. 9
  17. 8
  18. 12
  19. 12
  20. 10
  21. 22
  22. 12
  23. 5
  24. 4
  25. 1
  26. 6
  27. 1
  28. 10
  29. 240
  30. 19
  31. 28
  32. 28
  33. 27
  34. 200
  35. 38
  36. 11
  37. 9
  38. 1
  39. 70
  40. 20

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