← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 871 · 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 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 15 km upstream and come back?
  3. 3.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  5. 5.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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?
  8. 8.Two trains, 60 m and 210 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?
  9. 9.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.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?
  12. 12.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  14. 14.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  15. 15.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  17. 17.A boat goes 40 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  20. 20.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 70 km upstream and come back?
  21. 21.Two trains, 90 m and 270 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?
  22. 22.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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 70 km upstream and come back?
  24. 24.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  27. 27.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  30. 30.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 33 km upstream and come back?
  31. 31.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  32. 32.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  35. 35.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)?
  36. 36.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  38. 38.Two trains, 90 m and 135 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 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  40. 40.Two trains, 70 m and 280 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?

Answer key

  1. 10
  2. 6
  3. 22
  4. 90
  5. 105
  6. 30
  7. 22
  8. 9
  9. 17
  10. 12
  11. 20
  12. 750
  13. 24
  14. 23
  15. 5
  16. 43
  17. 1
  18. 2
  19. 150
  20. 42
  21. 9
  22. 17
  23. 16
  24. 6
  25. 7
  26. 21
  27. 1
  28. 1
  29. 39
  30. 36
  31. 25
  32. 4
  33. 14
  34. 12
  35. 4
  36. 8
  37. 25
  38. 9
  39. 20
  40. 10

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