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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 465 · 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 train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  2. 2.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 50 m and 355 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?
  4. 4.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.Two trains, 80 m and 130 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?
  7. 7.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?
  8. 8.A boat goes 30 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  11. 11.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  13. 13.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  15. 15.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  17. 17.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  18. 18.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  19. 19.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  20. 20.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  22. 22.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  26. 26.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  27. 27.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  29. 29.Two trains, 140 m and 100 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?
  30. 30.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  34. 34.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  35. 35.Two trains, 140 m and 280 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?
  36. 36.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 210 m and 195 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?
  38. 38.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  39. 39.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  40. 40.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?

Answer key

  1. 400
  2. 4
  3. 9
  4. 6
  5. 12
  6. 7
  7. 12
  8. 2
  9. 20
  10. 140
  11. 3
  12. 16
  13. 19
  14. 27
  15. 32
  16. 18
  17. 31
  18. 290
  19. 16
  20. 13
  21. 27
  22. 16
  23. 20
  24. 100
  25. 32
  26. 380
  27. 435
  28. 150
  29. 8
  30. 14
  31. 105
  32. 29
  33. 360
  34. 480
  35. 12
  36. 15
  37. 9
  38. 23
  39. 23
  40. 31

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