← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 594 · 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 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  2. 2.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  4. 4.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 91 km upstream and come back?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  9. 9.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  10. 10.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  13. 13.Two trains, 80 m and 280 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?
  14. 14.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  15. 15.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  17. 17.Two trains, 210 m and 60 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?
  18. 18.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  22. 22.A boat goes 48 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 60 m and 140 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?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  27. 27.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  28. 28.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.Two trains, 220 m and 60 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?
  30. 30.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 117 km upstream and come back?
  31. 31.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  32. 32.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 50 m and 75 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?
  34. 34.A boat goes 80 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 54 km/h passes a pole in 26 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 cross a platform 625 m long?
  37. 37.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  38. 38.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.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)?
  40. 40.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?

Answer key

  1. 11
  2. 11
  3. 28
  4. 22
  5. 6
  6. 33
  7. 98
  8. 20
  9. 650
  10. 19
  11. 1
  12. 35
  13. 9
  14. 24
  15. 12
  16. 22
  17. 6
  18. 5
  19. 30
  20. 7
  21. 23
  22. 2
  23. 24
  24. 10
  25. 14
  26. 220
  27. 24
  28. 4
  29. 7
  30. 130
  31. 540
  32. 21
  33. 5
  34. 4
  35. 390
  36. 38
  37. 45
  38. 24
  39. 5
  40. 28

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