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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 843 · 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 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  3. 3.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  4. 4.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  6. 6.Two trains, 240 m and 60 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?
  7. 7.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  8. 8.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 100 m and 380 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 54 km upstream and come back?
  11. 11.Two trains, 210 m and 120 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?
  12. 12.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)?
  13. 13.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  15. 15.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  17. 17.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  22. 22.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 104 km upstream and come back?
  23. 23.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 100 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  25. 25.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 130 m and 95 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?
  29. 29.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  30. 30.Two trains, 60 m and 80 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?
  31. 31.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  34. 34.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 36 km upstream and come back?
  35. 35.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  37. 37.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  39. 39.A boat goes at 16 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 87 km upstream and come back?
  40. 40.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 42 km upstream and come back?

Answer key

  1. 11
  2. 18
  3. 25
  4. 750
  5. 31
  6. 12
  7. 24
  8. 28
  9. 12
  10. 56
  11. 11
  12. 19
  13. 26
  14. 255
  15. 21
  16. 28
  17. 24
  18. 28
  19. 6
  20. 18
  21. 20
  22. 65
  23. 18
  24. 12
  25. 30
  26. 22
  27. 7
  28. 5
  29. 16
  30. 7
  31. 20
  32. 1
  33. 40
  34. 11
  35. 5
  36. 240
  37. 15
  38. 33
  39. 32
  40. 24

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