← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 268 · 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, 150 m and 100 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?
  2. 2.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 150 m and 180 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?
  4. 4.Two trains, 70 m and 175 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?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  6. 6.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 70 m and 290 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?
  8. 8.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.Two trains, 70 m and 230 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?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  11. 11.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  12. 12.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  13. 13.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 120 m and 120 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?
  15. 15.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  16. 16.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  17. 17.Two trains, 100 m and 340 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?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  19. 19.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  24. 24.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A boat goes 63 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)?
  27. 27.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  29. 29.A boat goes 60 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  31. 31.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  32. 32.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  33. 33.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 230 m and 70 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?
  35. 35.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 180 m and 205 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?
  40. 40.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 3
  3. 11
  4. 7
  5. 30
  6. 22
  7. 9
  8. 195
  9. 10
  10. 21
  11. 18
  12. 11
  13. 5
  14. 6
  15. 280
  16. 450
  17. 11
  18. 21
  19. 22
  20. 3
  21. 210
  22. 5
  23. 435
  24. 2
  25. 200
  26. 19
  27. 6
  28. 28
  29. 4
  30. 26
  31. 54
  32. 320
  33. 5
  34. 10
  35. 165
  36. 13
  37. 31
  38. 5
  39. 11
  40. 21

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