← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 817 · 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 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  2. 2.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  4. 4.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  7. 7.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.Two trains, 160 m and 80 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?
  10. 10.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  13. 13.Two trains, 80 m and 270 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?
  14. 14.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  16. 16.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  17. 17.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  20. 20.Two trains, 220 m and 100 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?
  21. 21.Two trains, 100 m and 450 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?
  22. 22.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  24. 24.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  31. 31.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  33. 33.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  34. 34.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 108 km upstream and come back?
  37. 37.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 130 m and 95 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?
  39. 39.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 675
  3. 32
  4. 19
  5. 32
  6. 36
  7. 26
  8. 290
  9. 8
  10. 8
  11. 7
  12. 375
  13. 10
  14. 19
  15. 32
  16. 19
  17. 4
  18. 15
  19. 5
  20. 8
  21. 11
  22. 14
  23. 29
  24. 6
  25. 9
  26. 80
  27. 7
  28. 2
  29. 7
  30. 34
  31. 25
  32. 10
  33. 195
  34. 250
  35. 15
  36. 40
  37. 6
  38. 9
  39. 11
  40. 10

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