← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 938 · 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.Two trains, 90 m and 190 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?
  2. 2.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  3. 3.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  5. 5.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 21 km upstream and come back?
  6. 6.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  7. 7.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  9. 9.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 170 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  12. 12.Two trains, 50 m and 310 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?
  13. 13.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  14. 14.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  17. 17.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?
  18. 18.Two trains, 150 m and 60 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?
  19. 19.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.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)?
  22. 22.Two trains, 220 m and 140 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?
  23. 23.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 18 km upstream and come back?
  25. 25.Two trains, 220 m and 130 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.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)?
  27. 27.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 90 m and 240 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?
  29. 29.Two trains, 230 m and 170 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?
  30. 30.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  31. 31.Two trains, 80 m and 60 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?
  32. 32.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  34. 34.Two trains, 250 m and 65 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?
  35. 35.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A boat goes 90 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.A boat goes 75 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)?
  39. 39.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  40. 40.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 96 km upstream and come back?

Answer key

  1. 8
  2. 15
  3. 24
  4. 40
  5. 4
  6. 30
  7. 1
  8. 25
  9. 7
  10. 2
  11. 12
  12. 12
  13. 30
  14. 27
  15. 180
  16. 30
  17. 11
  18. 6
  19. 9
  20. 14
  21. 5
  22. 9
  23. 26
  24. 10
  25. 7
  26. 2
  27. 26
  28. 11
  29. 10
  30. 500
  31. 4
  32. 20
  33. 30
  34. 9
  35. 275
  36. 3
  37. 14
  38. 10
  39. 175
  40. 22

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