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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 19 · 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.Two trains, 110 m and 70 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?
  2. 2.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 210 m and 105 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?
  4. 4.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 111 km upstream and come back?
  5. 5.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 180 m and 120 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?
  7. 7.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  9. 9.A boat goes 42 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)?
  10. 10.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 125 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)?
  12. 12.Two trains, 200 m and 80 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?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  14. 14.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  15. 15.Two trains, 70 m and 230 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?
  16. 16.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  19. 19.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  20. 20.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  23. 23.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  24. 24.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  25. 25.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  27. 27.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  28. 28.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 30 km upstream and come back?
  30. 30.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  31. 31.A boat goes at 20 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?
  32. 32.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  33. 33.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  36. 36.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  38. 38.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.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 90 km upstream and come back?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?

Answer key

  1. 4
  2. 4
  3. 7
  4. 114
  5. 6
  6. 12
  7. 30
  8. 39
  9. 18
  10. 25
  11. 20
  12. 8
  13. 21
  14. 29
  15. 12
  16. 5
  17. 3
  18. 32
  19. 23
  20. 8
  21. 20
  22. 100
  23. 120
  24. 21
  25. 7
  26. 32
  27. 38
  28. 15
  29. 4
  30. 17
  31. 5
  32. 24
  33. 7
  34. 8
  35. 38
  36. 23
  37. 40
  38. 2
  39. 36
  40. 72

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