← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 640 · 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 boat goes 32 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)?
  2. 2.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  3. 3.Two trains, 170 m and 430 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?
  4. 4.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  6. 6.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  7. 7.Two trains, 220 m and 275 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?
  8. 8.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 50 m and 390 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?
  10. 10.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  12. 12.Two trains, 250 m and 70 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?
  13. 13.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  14. 14.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  15. 15.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  16. 16.Two trains, 100 m and 75 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  17. 17.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  27. 27.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  29. 29.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  30. 30.Two trains, 250 m and 50 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?
  31. 31.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  34. 34.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  36. 36.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 50 m and 230 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?
  38. 38.Two trains, 210 m and 90 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?
  39. 39.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 13
  2. 30
  3. 12
  4. 3
  5. 300
  6. 12
  7. 11
  8. 24
  9. 11
  10. 4
  11. 24
  12. 8
  13. 28
  14. 210
  15. 435
  16. 7
  17. 13
  18. 8
  19. 13
  20. 165
  21. 14
  22. 2
  23. 19
  24. 32
  25. 5
  26. 17
  27. 12
  28. 360
  29. 32
  30. 6
  31. 520
  32. 12
  33. 675
  34. 28
  35. 25
  36. 3
  37. 8
  38. 10
  39. 17
  40. 5

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