← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 928 · 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 train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  3. 3.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  4. 4.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  5. 5.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  7. 7.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  9. 9.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  12. 12.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  13. 13.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  14. 14.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  15. 15.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  16. 16.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  17. 17.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 70 m and 80 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?
  20. 20.Two trains, 240 m and 120 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?
  21. 21.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.Two trains, 150 m and 210 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?
  23. 23.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  26. 26.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 28 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)?
  29. 29.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  30. 30.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.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?
  32. 32.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  34. 34.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 70 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  36. 36.Two trains, 200 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?
  37. 37.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.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)?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  40. 40.Two trains, 230 m and 130 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?

Answer key

  1. 24
  2. 16
  3. 15
  4. 70
  5. 22
  6. 24
  7. 4
  8. 40
  9. 165
  10. 3
  11. 120
  12. 175
  13. 33
  14. 27
  15. 28
  16. 270
  17. 7
  18. 11
  19. 6
  20. 9
  21. 700
  22. 12
  23. 4
  24. 15
  25. 29
  26. 6
  27. 2
  28. 13
  29. 23
  30. 7
  31. 16
  32. 9
  33. 435
  34. 20
  35. 6
  36. 12
  37. 5
  38. 3
  39. 28
  40. 12

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