← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 991 · 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 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.Two trains, 220 m and 280 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?
  3. 3.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 110 km upstream and come back?
  4. 4.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 42 km upstream and come back?
  7. 7.Two trains, 140 m and 110 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?
  8. 8.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 48 km upstream and come back?
  10. 10.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  11. 11.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  13. 13.Two trains, 120 m and 380 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?
  14. 14.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  15. 15.Two trains, 190 m and 250 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?
  16. 16.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 190 m and 60 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?
  18. 18.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  22. 22.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  24. 24.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  25. 25.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  27. 27.Two trains, 120 m and 360 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?
  28. 28.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  29. 29.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  32. 32.Two trains, 50 m and 150 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?
  33. 33.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 9 km upstream and come back?
  34. 34.A boat goes 44 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 210 m and 285 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?
  36. 36.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?
  37. 37.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  38. 38.Two trains, 100 m and 75 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?
  39. 39.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  40. 40.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 2
  2. 10
  3. 32
  4. 26
  5. 100
  6. 8
  7. 10
  8. 13
  9. 10
  10. 31
  11. 3
  12. 30
  13. 10
  14. 36
  15. 11
  16. 21
  17. 10
  18. 14
  19. 3
  20. 180
  21. 9
  22. 22
  23. 28
  24. 500
  25. 120
  26. 17
  27. 12
  28. 15
  29. 19
  30. 28
  31. 78
  32. 10
  33. 10
  34. 1
  35. 11
  36. 36
  37. 330
  38. 7
  39. 22
  40. 22

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