← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 393 · 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 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  2. 2.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)?
  3. 3.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  5. 5.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  6. 6.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)?
  7. 7.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  8. 8.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A boat goes 48 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)?
  13. 13.A boat goes 64 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)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  15. 15.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  17. 17.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  19. 19.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  21. 21.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  22. 22.Two trains, 90 m and 225 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?
  23. 23.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  24. 24.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  27. 27.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  30. 30.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 220 m and 95 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?
  36. 36.A boat goes 42 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)?
  37. 37.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  38. 38.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 70 m and 330 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. 26
  2. 2
  3. 220
  4. 48
  5. 3
  6. 2
  7. 250
  8. 22
  9. 9
  10. 10
  11. 100
  12. 9
  13. 11
  14. 19
  15. 6
  16. 28
  17. 25
  18. 24
  19. 18
  20. 2
  21. 38
  22. 9
  23. 64
  24. 540
  25. 36
  26. 17
  27. 150
  28. 5
  29. 180
  30. 29
  31. 5
  32. 60
  33. 120
  34. 9
  35. 9
  36. 17
  37. 285
  38. 10
  39. 24
  40. 10

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