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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 180 · 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 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  2. 2.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?
  3. 3.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  5. 5.Two trains, 80 m and 280 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?
  6. 6.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  7. 7.Two trains, 90 m and 90 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?
  8. 8.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  9. 9.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  10. 10.Two trains, 220 m and 140 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?
  11. 11.Two trains, 60 m and 80 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?
  12. 12.Two trains, 60 m and 150 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?
  13. 13.Two trains, 130 m and 230 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?
  14. 14.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  16. 16.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  19. 19.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 80 m and 145 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?
  21. 21.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  23. 23.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  28. 28.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 78 km upstream and come back?
  29. 29.Two trains, 240 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?
  30. 30.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 50 m and 70 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?
  34. 34.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 119 km upstream and come back?
  35. 35.Two trains, 110 m and 240 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?
  36. 36.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  40. 40.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?

Answer key

  1. 34
  2. 14
  3. 5
  4. 150
  5. 12
  6. 17
  7. 6
  8. 36
  9. 27
  10. 9
  11. 4
  12. 6
  13. 12
  14. 10
  15. 29
  16. 23
  17. 24
  18. 125
  19. 5
  20. 9
  21. 160
  22. 250
  23. 16
  24. 1
  25. 2
  26. 9
  27. 14
  28. 42
  29. 12
  30. 20
  31. 29
  32. 22
  33. 4
  34. 126
  35. 10
  36. 7
  37. 8
  38. 28
  39. 7
  40. 140

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