← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 435 · 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 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  2. 2.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 42 km upstream and come back?
  4. 4.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.Two trains, 70 m and 480 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?
  7. 7.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  9. 9.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  10. 10.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  12. 12.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 190 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  15. 15.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  17. 17.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  18. 18.A boat goes 95 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)?
  19. 19.Two trains, 190 m and 85 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?
  20. 20.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  21. 21.Two trains, 110 m and 330 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  22. 22.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  23. 23.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 16 km upstream and come back?
  24. 24.Two trains, 50 m and 70 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?
  25. 25.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  26. 26.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  27. 27.Two trains, 210 m and 60 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?
  28. 28.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.Two trains, 150 m and 250 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?
  31. 31.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  32. 32.Two trains, 120 m and 130 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?
  33. 33.A boat goes 36 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)?
  34. 34.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  36. 36.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 60 m and 255 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?
  38. 38.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  39. 39.Two trains, 80 m and 340 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?
  40. 40.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?

Answer key

  1. 16
  2. 11
  3. 20
  4. 25
  5. 6
  6. 11
  7. 150
  8. 40
  9. 31
  10. 20
  11. 13
  12. 3
  13. 12
  14. 31
  15. 160
  16. 80
  17. 24
  18. 17
  19. 11
  20. 25
  21. 11
  22. 375
  23. 5
  24. 6
  25. 450
  26. 26
  27. 6
  28. 10
  29. 120
  30. 10
  31. 550
  32. 10
  33. 8
  34. 28
  35. 38
  36. 5
  37. 7
  38. 19
  39. 12
  40. 28

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