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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 707 · 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 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  3. 3.Two trains, 220 m and 95 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 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 210 m and 65 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  6. 6.Two trains, 170 m and 145 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?
  7. 7.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  9. 9.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  10. 10.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  12. 12.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  13. 13.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  14. 14.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.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 28 km upstream and come back?
  18. 18.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?
  19. 19.Two trains, 60 m and 80 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?
  20. 20.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A boat goes 60 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)?
  22. 22.Two trains, 220 m and 275 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?
  23. 23.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  24. 24.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  25. 25.A boat goes 85 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.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)?
  27. 27.Two trains, 180 m and 65 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  29. 29.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  30. 30.A train 70 m long runs at 36 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 28 seconds. How long is the train (in metres)?
  32. 32.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  33. 33.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  34. 34.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.Two trains, 150 m and 120 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?
  37. 37.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 120 km upstream and come back?
  39. 39.Two trains, 110 m and 310 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  40. 40.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?

Answer key

  1. 15
  2. 22
  3. 7
  4. 2
  5. 11
  6. 9
  7. 24
  8. 33
  9. 27
  10. 27
  11. 24
  12. 170
  13. 28
  14. 16
  15. 21
  16. 260
  17. 15
  18. 34
  19. 4
  20. 16
  21. 15
  22. 11
  23. 35
  24. 27
  25. 12
  26. 11
  27. 7
  28. 29
  29. 33
  30. 7
  31. 420
  32. 41
  33. 30
  34. 5
  35. 15
  36. 9
  37. 17
  38. 75
  39. 12
  40. 10

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