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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 262 · 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 at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 102 km upstream and come back?
  2. 2.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  3. 3.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  4. 4.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 70 m and 315 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?
  7. 7.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 160 m and 225 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?
  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 boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 117 km upstream and come back?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 56 km upstream and come back?
  14. 14.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  16. 16.A boat goes 70 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  18. 18.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  19. 19.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  20. 20.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  23. 23.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  24. 24.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.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 27 km upstream and come back?
  26. 26.Two trains, 150 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?
  27. 27.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  28. 28.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 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 36 km/h. How many seconds do they take to cross each other?
  30. 30.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  31. 31.A boat goes 100 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  34. 34.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  37. 37.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  38. 38.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  39. 39.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?

Answer key

  1. 108
  2. 12
  3. 22
  4. 31
  5. 26
  6. 11
  7. 3
  8. 6
  9. 11
  10. 27
  11. 32
  12. 120
  13. 9
  14. 21
  15. 33
  16. 10
  17. 21
  18. 200
  19. 180
  20. 18
  21. 28
  22. 25
  23. 13
  24. 3
  25. 30
  26. 10
  27. 400
  28. 31
  29. 10
  30. 25
  31. 15
  32. 28
  33. 30
  34. 27
  35. 1
  36. 550
  37. 24
  38. 37
  39. 28
  40. 31

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