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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 196 · 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 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.Two trains, 90 m and 150 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?
  3. 3.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  4. 4.A boat goes 65 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)?
  5. 5.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.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?
  9. 9.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 20 km upstream and come back?
  12. 12.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  13. 13.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  14. 14.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.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?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  17. 17.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  19. 19.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  20. 20.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  22. 22.Two trains, 160 m and 170 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?
  23. 23.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  27. 27.Two trains, 120 m and 155 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?
  28. 28.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?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 32 km upstream and come back?
  30. 30.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 80 km upstream and come back?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  36. 36.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 48 km upstream and come back?
  37. 37.Two trains, 110 m and 440 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes 105 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 6
  3. 24
  4. 10
  5. 13
  6. 4
  7. 16
  8. 10
  9. 3
  10. 200
  11. 12
  12. 21
  13. 27
  14. 3
  15. 18
  16. 30
  17. 9
  18. 30
  19. 31
  20. 210
  21. 40
  22. 11
  23. 23
  24. 16
  25. 160
  26. 48
  27. 11
  28. 20
  29. 12
  30. 24
  31. 160
  32. 30
  33. 24
  34. 12
  35. 240
  36. 30
  37. 11
  38. 17
  39. 24
  40. 30

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