← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 583 · 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 running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  2. 2.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 120 m and 55 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?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.Two trains, 60 m and 240 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?
  7. 7.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  9. 9.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  11. 11.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 70 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 190 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  17. 17.A boat goes 28 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 45 km upstream and come back?
  20. 20.Two trains, 50 m and 230 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.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  23. 23.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  24. 24.Two trains, 210 m and 150 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?
  25. 25.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  26. 26.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.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)?
  29. 29.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  31. 31.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  33. 33.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 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 14 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  36. 36.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)?
  37. 37.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 40 km upstream and come back?
  39. 39.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 360
  2. 11
  3. 20
  4. 7
  5. 27
  6. 10
  7. 19
  8. 520
  9. 5
  10. 14
  11. 1
  12. 7
  13. 9
  14. 5
  15. 7
  16. 9
  17. 2
  18. 120
  19. 48
  20. 7
  21. 20
  22. 120
  23. 200
  24. 9
  25. 17
  26. 13
  27. 23
  28. 10
  29. 11
  30. 15
  31. 380
  32. 18
  33. 10
  34. 140
  35. 20
  36. 8
  37. 300
  38. 6
  39. 1
  40. 26

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