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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 940 · 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.Two trains, 160 m and 80 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?
  2. 2.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  6. 6.Two trains, 80 m and 160 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?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 90 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)?
  9. 9.Two trains, 70 m and 130 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.Two trains, 50 m and 265 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?
  11. 11.Two trains, 240 m and 240 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?
  12. 12.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  13. 13.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  16. 16.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  18. 18.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  20. 20.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  22. 22.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  23. 23.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  25. 25.Two trains, 80 m and 160 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?
  26. 26.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 130 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?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  29. 29.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  30. 30.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  32. 32.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  33. 33.Two trains, 160 m and 160 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?
  34. 34.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.Two trains, 110 m and 100 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  36. 36.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  38. 38.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 80 m and 170 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?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 44 km upstream and come back?

Answer key

  1. 6
  2. 4
  3. 5
  4. 36
  5. 27
  6. 12
  7. 20
  8. 14
  9. 5
  10. 9
  11. 12
  12. 210
  13. 29
  14. 16
  15. 16
  16. 32
  17. 26
  18. 450
  19. 600
  20. 14
  21. 29
  22. 440
  23. 420
  24. 210
  25. 8
  26. 24
  27. 9
  28. 13
  29. 475
  30. 25
  31. 38
  32. 38
  33. 8
  34. 33
  35. 6
  36. 28
  37. 22
  38. 14
  39. 10
  40. 24

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