← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 577 · 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 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  4. 4.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 210 m and 285 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?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  9. 9.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  11. 11.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  13. 13.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 160 m and 90 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?
  15. 15.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  19. 19.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  21. 21.Two trains, 90 m and 85 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?
  22. 22.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  25. 25.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.Two trains, 230 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?
  27. 27.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  29. 29.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  31. 31.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  33. 33.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  34. 34.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  35. 35.Two trains, 110 m and 65 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.Two trains, 190 m and 55 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?
  37. 37.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 17
  2. 29
  3. 27
  4. 1
  5. 14
  6. 15
  7. 11
  8. 49
  9. 16
  10. 33
  11. 140
  12. 21
  13. 3
  14. 10
  15. 16
  16. 5
  17. 15
  18. 17
  19. 26
  20. 80
  21. 7
  22. 7
  23. 29
  24. 21
  25. 4
  26. 9
  27. 11
  28. 37
  29. 1
  30. 8
  31. 29
  32. 40
  33. 200
  34. 37
  35. 5
  36. 7
  37. 16
  38. 10
  39. 26
  40. 19

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