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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 399 · 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, 180 m and 90 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?
  2. 2.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  5. 5.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  7. 7.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  9. 9.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  10. 10.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.Two trains, 130 m and 290 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?
  12. 12.Two trains, 80 m and 305 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?
  13. 13.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  14. 14.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  15. 15.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  18. 18.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  19. 19.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  20. 20.Two trains, 50 m and 125 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  21. 21.A boat goes 18 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)?
  22. 22.Two trains, 170 m and 145 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?
  23. 23.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.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 24 km upstream and come back?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  27. 27.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  28. 28.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  29. 29.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  30. 30.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  32. 32.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  33. 33.Two trains, 70 m and 290 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?
  34. 34.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  35. 35.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  37. 37.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 9
  2. 18
  3. 4
  4. 14
  5. 12
  6. 31
  7. 8
  8. 70
  9. 180
  10. 17
  11. 12
  12. 11
  13. 200
  14. 100
  15. 17
  16. 19
  17. 270
  18. 21
  19. 36
  20. 5
  21. 8
  22. 9
  23. 12
  24. 17
  25. 10
  26. 16
  27. 190
  28. 700
  29. 240
  30. 210
  31. 200
  32. 40
  33. 9
  34. 24
  35. 25
  36. 120
  37. 20
  38. 210
  39. 600
  40. 10

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