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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 107 · 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, 60 m and 210 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?
  2. 2.Two trains, 110 m and 385 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?
  3. 3.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  4. 4.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  5. 5.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  6. 6.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  7. 7.Two trains, 50 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?
  8. 8.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 160 m and 120 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?
  11. 11.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  12. 12.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 120 m and 180 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?
  14. 14.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  15. 15.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?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  17. 17.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)?
  18. 18.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  22. 22.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  23. 23.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  25. 25.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  28. 28.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  29. 29.Two trains, 190 m and 160 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?
  30. 30.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  31. 31.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 70 m and 370 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?
  37. 37.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  39. 39.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  40. 40.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 105 km upstream and come back?

Answer key

  1. 9
  2. 11
  3. 400
  4. 435
  5. 550
  6. 26
  7. 5
  8. 32
  9. 14
  10. 8
  11. 13
  12. 21
  13. 10
  14. 32
  15. 20
  16. 12
  17. 2
  18. 3
  19. 8
  20. 13
  21. 66
  22. 285
  23. 28
  24. 33
  25. 3
  26. 12
  27. 575
  28. 24
  29. 7
  30. 12
  31. 110
  32. 5
  33. 38
  34. 20
  35. 8
  36. 11
  37. 22
  38. 25
  39. 19
  40. 50

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