← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 481 · 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 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 190 m and 230 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?
  4. 4.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  5. 5.Two trains, 60 m and 150 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?
  6. 6.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  9. 9.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 60 m and 290 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?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  12. 12.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  14. 14.Two trains, 50 m and 70 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?
  15. 15.Two trains, 110 m and 160 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  17. 17.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  20. 20.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  22. 22.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  28. 28.Two trains, 60 m and 160 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?
  29. 29.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)?
  30. 30.Two trains, 120 m and 265 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?
  31. 31.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  32. 32.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  33. 33.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.Two trains, 250 m and 110 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  38. 38.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 8 km upstream and come back?
  39. 39.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?
  40. 40.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?

Answer key

  1. 14
  2. 4
  3. 12
  4. 23
  5. 6
  6. 26
  7. 8
  8. 48
  9. 9
  10. 7
  11. 22
  12. 30
  13. 15
  14. 6
  15. 6
  16. 12
  17. 220
  18. 17
  19. 24
  20. 15
  21. 34
  22. 21
  23. 20
  24. 8
  25. 1
  26. 1
  27. 25
  28. 11
  29. 5
  30. 11
  31. 21
  32. 33
  33. 16
  34. 6
  35. 16
  36. 32
  37. 8
  38. 3
  39. 26
  40. 280

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