← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 531 · 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 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.Two trains, 80 m and 340 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  3. 3.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 78 km upstream and come back?
  4. 4.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 220 m and 60 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?
  6. 6.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  7. 7.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 60 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  9. 9.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  10. 10.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  12. 12.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  13. 13.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  14. 14.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  16. 16.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.Two trains, 130 m and 150 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?
  18. 18.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  22. 22.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  25. 25.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 90 m and 150 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?
  28. 28.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.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 36 km upstream and come back?
  30. 30.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  32. 32.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  34. 34.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  35. 35.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  39. 39.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 230 m and 130 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?

Answer key

  1. 6
  2. 12
  3. 32
  4. 18
  5. 8
  6. 20
  7. 14
  8. 4
  9. 225
  10. 13
  11. 21
  12. 300
  13. 580
  14. 12
  15. 1
  16. 200
  17. 7
  18. 16
  19. 20
  20. 2
  21. 315
  22. 29
  23. 650
  24. 18
  25. 16
  26. 2
  27. 12
  28. 175
  29. 40
  30. 17
  31. 17
  32. 2
  33. 3
  34. 200
  35. 29
  36. 13
  37. 28
  38. 360
  39. 15
  40. 9

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