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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 862 · 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 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  5. 5.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.Two trains, 80 m and 160 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?
  7. 7.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  8. 8.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  10. 10.Two trains, 120 m and 90 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?
  11. 11.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 96 km upstream and come back?
  12. 12.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  14. 14.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.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 45 km upstream and come back?
  16. 16.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  18. 18.Two trains, 240 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  19. 19.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  21. 21.A boat goes 26 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 220 m and 140 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.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  24. 24.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  25. 25.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  27. 27.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  28. 28.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  31. 31.Two trains, 160 m and 85 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?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  33. 33.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  35. 35.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  36. 36.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  39. 39.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  40. 40.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 2
  2. 10
  3. 13
  4. 180
  5. 105
  6. 12
  7. 25
  8. 3
  9. 17
  10. 7
  11. 51
  12. 6
  13. 24
  14. 11
  15. 50
  16. 20
  17. 30
  18. 11
  19. 4
  20. 34
  21. 1
  22. 12
  23. 17
  24. 150
  25. 21
  26. 165
  27. 37
  28. 31
  29. 14
  30. 500
  31. 7
  32. 9
  33. 12
  34. 45
  35. 30
  36. 1
  37. 9
  38. 120
  39. 100
  40. 17

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