← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 491 · 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 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 100 m and 380 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?
  3. 3.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  4. 4.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 54 km upstream and come back?
  6. 6.Two trains, 150 m and 125 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?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  8. 8.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  9. 9.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.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)?
  15. 15.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  17. 17.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  19. 19.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  20. 20.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  23. 23.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 110 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  26. 26.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)?
  27. 27.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  31. 31.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  32. 32.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  34. 34.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 29 km upstream and come back?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 63 km upstream and come back?
  39. 39.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?

Answer key

  1. 2
  2. 12
  3. 41
  4. 5
  5. 30
  6. 11
  7. 30
  8. 27
  9. 28
  10. 12
  11. 16
  12. 15
  13. 6
  14. 1
  15. 405
  16. 270
  17. 30
  18. 19
  19. 435
  20. 9
  21. 11
  22. 15
  23. 27
  24. 2
  25. 26
  26. 8
  27. 165
  28. 11
  29. 4
  30. 210
  31. 15
  32. 5
  33. 4
  34. 4
  35. 1
  36. 6
  37. 30
  38. 12
  39. 60
  40. 32

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