← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 316 · 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 45 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)?
  2. 2.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 130 m and 120 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?
  4. 4.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  5. 5.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  6. 6.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  7. 7.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  8. 8.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  9. 9.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  10. 10.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  12. 12.Two trains, 170 m and 180 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?
  13. 13.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 24 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  17. 17.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?
  18. 18.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 250 m and 300 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?
  20. 20.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  21. 21.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  23. 23.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  24. 24.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  25. 25.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  29. 29.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  30. 30.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  31. 31.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 60 m and 240 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?
  34. 34.Two trains, 120 m and 280 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?
  35. 35.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  38. 38.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  39. 39.Two trains, 130 m and 185 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?
  40. 40.A boat goes 40 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 8
  2. 26
  3. 10
  4. 30
  5. 21
  6. 26
  7. 23
  8. 270
  9. 25
  10. 8
  11. 260
  12. 7
  13. 14
  14. 7
  15. 10
  16. 20
  17. 32
  18. 22
  19. 11
  20. 13
  21. 2
  22. 24
  23. 32
  24. 24
  25. 30
  26. 21
  27. 2
  28. 500
  29. 39
  30. 375
  31. 16
  32. 17
  33. 10
  34. 8
  35. 285
  36. 2
  37. 210
  38. 600
  39. 9
  40. 8

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