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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 908 · 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 boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  3. 3.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  5. 5.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  6. 6.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 110 m and 220 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?
  8. 8.Two trains, 50 m and 195 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?
  9. 9.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  10. 10.Two trains, 180 m and 150 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?
  11. 11.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  12. 12.Two trains, 80 m and 195 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?
  13. 13.Two trains, 190 m and 230 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?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  16. 16.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 34 km upstream and come back?
  19. 19.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  20. 20.A boat goes 26 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 60 km upstream and come back?
  23. 23.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 96 km upstream and come back?
  24. 24.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  25. 25.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  28. 28.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  30. 30.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  34. 34.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 70 m and 330 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?
  36. 36.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 230 m and 90 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?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  39. 39.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 24 km upstream and come back?

Answer key

  1. 1
  2. 450
  3. 26
  4. 30
  5. 24
  6. 24
  7. 11
  8. 7
  9. 27
  10. 11
  11. 41
  12. 11
  13. 12
  14. 21
  15. 32
  16. 520
  17. 31
  18. 18
  19. 17
  20. 2
  21. 22
  22. 24
  23. 54
  24. 20
  25. 5
  26. 23
  27. 20
  28. 31
  29. 40
  30. 16
  31. 45
  32. 26
  33. 450
  34. 17
  35. 10
  36. 8
  37. 8
  38. 21
  39. 2
  40. 5

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