← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 672 · 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 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 90 m and 60 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?
  3. 3.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 88 km upstream and come back?
  4. 4.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 10 km upstream and come back?
  5. 5.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  6. 6.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  7. 7.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  9. 9.Two trains, 210 m and 210 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.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)?
  11. 11.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  14. 14.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?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 117 km upstream and come back?
  16. 16.Two trains, 80 m and 70 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?
  17. 17.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  18. 18.Two trains, 100 m and 110 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?
  19. 19.Two trains, 50 m and 490 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?
  20. 20.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)?
  21. 21.Two trains, 80 m and 460 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?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 110 m and 130 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?
  24. 24.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 70 m and 530 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?
  28. 28.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 70 km upstream and come back?
  31. 31.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  32. 32.Two trains, 110 m and 130 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?
  33. 33.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 32 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)?
  35. 35.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  37. 37.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  38. 38.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?

Answer key

  1. 1
  2. 5
  3. 55
  4. 6
  5. 14
  6. 345
  7. 1
  8. 36
  9. 12
  10. 4
  11. 9
  12. 11
  13. 22
  14. 11
  15. 130
  16. 5
  17. 36
  18. 6
  19. 12
  20. 2
  21. 12
  22. 16
  23. 12
  24. 1
  25. 5
  26. 30
  27. 12
  28. 21
  29. 50
  30. 24
  31. 210
  32. 6
  33. 23
  34. 12
  35. 11
  36. 8
  37. 550
  38. 17
  39. 14
  40. 21

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