← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 831 · 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 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.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 100 km upstream and come back?
  4. 4.Two trains, 120 m and 195 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?
  5. 5.Two trains, 70 m and 230 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?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  9. 9.Two trains, 160 m and 80 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, 60 m and 345 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  15. 15.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  16. 16.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.Two trains, 60 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?
  18. 18.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  19. 19.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  20. 20.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  23. 23.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  24. 24.Two trains, 80 m and 140 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?
  25. 25.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  26. 26.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  27. 27.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  28. 28.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  29. 29.Two trains, 230 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?
  30. 30.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 120 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?
  33. 33.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 13 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?
  36. 36.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  37. 37.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  38. 38.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  40. 40.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 5
  2. 2
  3. 35
  4. 9
  5. 10
  6. 6
  7. 75
  8. 32
  9. 6
  10. 9
  11. 8
  12. 21
  13. 33
  14. 17
  15. 37
  16. 21
  17. 11
  18. 25
  19. 36
  20. 9
  21. 2
  22. 34
  23. 19
  24. 11
  25. 575
  26. 270
  27. 30
  28. 600
  29. 8
  30. 23
  31. 19
  32. 5
  33. 6
  34. 210
  35. 26
  36. 34
  37. 20
  38. 19
  39. 14
  40. 25

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