← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 814 · 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 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 110 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  3. 3.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 120 km upstream and come back?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  5. 5.Two trains, 50 m and 170 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?
  6. 6.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  8. 8.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  9. 9.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  13. 13.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  15. 15.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  16. 16.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  18. 18.Two trains, 160 m and 160 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?
  19. 19.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  20. 20.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.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 30 km upstream and come back?
  22. 22.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.Two trains, 220 m and 55 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  26. 26.Two trains, 100 m and 170 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?
  27. 27.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.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)?
  33. 33.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 160 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  36. 36.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  38. 38.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 130 m and 110 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?
  40. 40.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 1
  2. 4
  3. 24
  4. 8
  5. 11
  6. 8
  7. 35
  8. 350
  9. 25
  10. 11
  11. 16
  12. 300
  13. 24
  14. 19
  15. 130
  16. 35
  17. 40
  18. 8
  19. 15
  20. 20
  21. 18
  22. 27
  23. 10
  24. 15
  25. 11
  26. 9
  27. 8
  28. 7
  29. 19
  30. 28
  31. 37
  32. 4
  33. 9
  34. 15
  35. 12
  36. 150
  37. 29
  38. 21
  39. 8
  40. 7

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