← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 573 · 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 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  2. 2.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  3. 3.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  4. 4.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.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?
  6. 6.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.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 84 km upstream and come back?
  8. 8.Two trains, 250 m and 65 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?
  9. 9.Two trains, 90 m and 295 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 81 km upstream and come back?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  14. 14.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.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?
  18. 18.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  20. 20.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  23. 23.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  25. 25.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  27. 27.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  28. 28.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 50 m and 225 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?
  30. 30.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  33. 33.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 50 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 90 m and 260 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  38. 38.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  39. 39.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  40. 40.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?

Answer key

  1. 60
  2. 13
  3. 30
  4. 16
  5. 10
  6. 1
  7. 40
  8. 9
  9. 11
  10. 22
  11. 170
  12. 84
  13. 10
  14. 27
  15. 17
  16. 4
  17. 9
  18. 24
  19. 41
  20. 1
  21. 15
  22. 64
  23. 36
  24. 40
  25. 160
  26. 35
  27. 25
  28. 23
  29. 11
  30. 8
  31. 2
  32. 11
  33. 4
  34. 10
  35. 11
  36. 10
  37. 35
  38. 35
  39. 28
  40. 120

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