← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 26 · 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 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 70 m and 290 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?
  5. 5.Two trains, 70 m and 140 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?
  6. 6.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  8. 8.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  9. 9.Two trains, 70 m and 50 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?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 70 km upstream and come back?
  11. 11.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  12. 12.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  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 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  17. 17.Two trains, 140 m and 355 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?
  18. 18.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  20. 20.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.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 48 km upstream and come back?
  22. 22.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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)?
  24. 24.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  26. 26.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 km upstream and come back?
  28. 28.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  29. 29.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  30. 30.Two trains, 90 m and 85 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?
  31. 31.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  32. 32.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  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 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  37. 37.Two trains, 230 m and 100 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?
  38. 38.Two trains, 50 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?
  39. 39.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  40. 40.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 29
  2. 14
  3. 5
  4. 12
  5. 7
  6. 15
  7. 34
  8. 110
  9. 4
  10. 40
  11. 17
  12. 3
  13. 23
  14. 19
  15. 27
  16. 21
  17. 11
  18. 1
  19. 26
  20. 175
  21. 10
  22. 22
  23. 5
  24. 21
  25. 26
  26. 22
  27. 12
  28. 22
  29. 120
  30. 7
  31. 29
  32. 27
  33. 28
  34. 12
  35. 15
  36. 5
  37. 11
  38. 5
  39. 440
  40. 2

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