← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 540 · 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 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  3. 3.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.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 42 km upstream and come back?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 22 km upstream and come back?
  6. 6.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.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?
  8. 8.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  9. 9.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  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 99 km upstream and come back?
  11. 11.Two trains, 160 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?
  12. 12.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  13. 13.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  18. 18.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  19. 19.Two trains, 80 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?
  20. 20.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 70 m and 210 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?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  23. 23.Two trains, 70 m and 140 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?
  24. 24.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  26. 26.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  27. 27.Two trains, 110 m and 340 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  28. 28.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 20 km upstream and come back?
  29. 29.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 80 m and 340 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?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  33. 33.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  36. 36.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.Two trains, 140 m and 190 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?
  38. 38.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.Two trains, 160 m and 85 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?
  40. 40.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 6
  2. 10
  3. 20
  4. 20
  5. 24
  6. 19
  7. 13
  8. 39
  9. 425
  10. 42
  11. 8
  12. 80
  13. 17
  14. 2
  15. 19
  16. 4
  17. 28
  18. 56
  19. 5
  20. 4
  21. 8
  22. 23
  23. 6
  24. 7
  25. 31
  26. 32
  27. 10
  28. 12
  29. 1
  30. 12
  31. 5
  32. 20
  33. 2
  34. 29
  35. 41
  36. 24
  37. 11
  38. 2
  39. 7
  40. 13

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