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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 820 · 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 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.Two trains, 130 m and 110 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?
  5. 5.Two trains, 60 m and 220 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?
  6. 6.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  8. 8.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  12. 12.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  15. 15.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?
  16. 16.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 140 m and 300 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?
  18. 18.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  21. 21.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 120 m and 420 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?
  24. 24.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  27. 27.Two trains, 190 m and 250 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  29. 29.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  31. 31.Two trains, 140 m and 130 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?
  32. 32.Two trains, 60 m and 360 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?
  33. 33.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  34. 34.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 104 km upstream and come back?
  35. 35.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 160 m and 320 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  38. 38.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 20
  2. 18
  3. 300
  4. 6
  5. 8
  6. 4
  7. 280
  8. 4
  9. 165
  10. 18
  11. 29
  12. 16
  13. 12
  14. 12
  15. 20
  16. 17
  17. 11
  18. 17
  19. 36
  20. 20
  21. 4
  22. 23
  23. 12
  24. 18
  25. 28
  26. 14
  27. 11
  28. 28
  29. 240
  30. 21
  31. 6
  32. 12
  33. 32
  34. 112
  35. 8
  36. 2
  37. 12
  38. 20
  39. 60
  40. 10

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