← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 231 · 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 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  4. 4.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 250 m and 250 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?
  6. 6.A train 150 m long runs at 90 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 9 seconds. How long is the train (in metres)?
  8. 8.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  9. 9.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  10. 10.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  11. 11.Two trains, 190 m and 210 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?
  12. 12.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.Two trains, 220 m and 110 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?
  14. 14.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  17. 17.Two trains, 110 m and 240 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A boat goes 20 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 train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  24. 24.Two trains, 170 m and 150 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?
  25. 25.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  28. 28.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  29. 29.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  31. 31.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  32. 32.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  34. 34.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  40. 40.Two trains, 200 m and 240 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?

Answer key

  1. 9
  2. 300
  3. 33
  4. 10
  5. 10
  6. 6
  7. 90
  8. 37
  9. 24
  10. 18
  11. 10
  12. 10
  13. 11
  14. 1
  15. 29
  16. 23
  17. 10
  18. 15
  19. 8
  20. 14
  21. 13
  22. 7
  23. 26
  24. 8
  25. 11
  26. 17
  27. 12
  28. 29
  29. 28
  30. 38
  31. 420
  32. 33
  33. 12
  34. 24
  35. 18
  36. 15
  37. 18
  38. 220
  39. 315
  40. 11

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