← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 482 · 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 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  5. 5.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  6. 6.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 56 km upstream and come back?
  7. 7.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)?
  8. 8.Two trains, 150 m and 75 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?
  9. 9.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 60 m and 100 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, 190 m and 160 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?
  12. 12.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 200 m and 75 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?
  16. 16.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  18. 18.Two trains, 160 m and 225 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?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  20. 20.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.Two trains, 110 m and 130 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?
  24. 24.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  25. 25.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  26. 26.Two trains, 50 m and 200 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?
  27. 27.Two trains, 60 m and 290 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?
  28. 28.Two trains, 240 m and 160 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?
  29. 29.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  30. 30.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 210 m and 210 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?
  32. 32.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  35. 35.A boat goes 90 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  37. 37.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  38. 38.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 28 km upstream and come back?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  40. 40.Two trains, 140 m and 210 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?

Answer key

  1. 2
  2. 27
  3. 25
  4. 38
  5. 270
  6. 18
  7. 3
  8. 9
  9. 7
  10. 4
  11. 10
  12. 1
  13. 3
  14. 5
  15. 11
  16. 100
  17. 40
  18. 11
  19. 21
  20. 23
  21. 8
  22. 25
  23. 12
  24. 220
  25. 26
  26. 10
  27. 10
  28. 10
  29. 36
  30. 11
  31. 12
  32. 9
  33. 37
  34. 25
  35. 17
  36. 28
  37. 260
  38. 9
  39. 25
  40. 10

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude