← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 234 · 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 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  2. 2.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  8. 8.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  9. 9.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  10. 10.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.Two trains, 90 m and 60 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?
  17. 17.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  20. 20.Two trains, 120 m and 380 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?
  21. 21.Two trains, 110 m and 220 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?
  22. 22.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  24. 24.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.Two trains, 210 m and 70 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?
  27. 27.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 50 m and 195 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?
  29. 29.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  31. 31.Two trains, 90 m and 60 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?
  32. 32.Two trains, 170 m and 105 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?
  33. 33.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 9 km upstream and come back?
  34. 34.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 90 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  38. 38.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?

Answer key

  1. 26
  2. 9
  3. 3
  4. 25
  5. 8
  6. 23
  7. 120
  8. 480
  9. 31
  10. 400
  11. 45
  12. 24
  13. 28
  14. 23
  15. 5
  16. 5
  17. 24
  18. 19
  19. 225
  20. 10
  21. 11
  22. 16
  23. 240
  24. 21
  25. 10
  26. 7
  27. 10
  28. 7
  29. 1
  30. 300
  31. 6
  32. 11
  33. 10
  34. 4
  35. 14
  36. 22
  37. 150
  38. 6
  39. 7
  40. 160

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