← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 939 · 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 at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  3. 3.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  5. 5.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  6. 6.Two trains, 100 m and 305 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  7. 7.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  9. 9.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  11. 11.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.Two trains, 240 m and 120 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 72 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  21. 21.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  22. 22.Two trains, 70 m and 410 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?
  23. 23.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?
  24. 24.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  25. 25.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  27. 27.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  30. 30.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  33. 33.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 57 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A boat goes 72 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 34
  2. 16
  3. 39
  4. 33
  5. 225
  6. 9
  7. 10
  8. 28
  9. 16
  10. 22
  11. 29
  12. 12
  13. 3
  14. 440
  15. 60
  16. 120
  17. 30
  18. 5
  19. 2
  20. 25
  21. 360
  22. 12
  23. 28
  24. 345
  25. 160
  26. 7
  27. 75
  28. 4
  29. 18
  30. 600
  31. 180
  32. 22
  33. 2
  34. 17
  35. 2
  36. 700
  37. 1
  38. 2
  39. 15
  40. 6

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