← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 388 · 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 30 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 220 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?
  4. 4.Two trains, 50 m and 310 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  6. 6.Two trains, 250 m and 50 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?
  7. 7.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.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?
  9. 9.Two trains, 170 m and 105 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?
  10. 10.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  13. 13.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 54 km upstream and come back?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  15. 15.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  18. 18.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  22. 22.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  25. 25.Two trains, 70 m and 130 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 320 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?
  27. 27.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  29. 29.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 117 km upstream and come back?
  31. 31.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 130 m and 70 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?
  33. 33.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  34. 34.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A train 400 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 18 km/h. How many hours does the boat take to go 38 km upstream and come back?
  37. 37.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?
  38. 38.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  39. 39.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?

Answer key

  1. 4
  2. 5
  3. 11
  4. 12
  5. 26
  6. 12
  7. 7
  8. 16
  9. 11
  10. 13
  11. 96
  12. 34
  13. 60
  14. 29
  15. 15
  16. 9
  17. 450
  18. 1
  19. 19
  20. 7
  21. 25
  22. 26
  23. 5
  24. 26
  25. 8
  26. 12
  27. 3
  28. 112
  29. 13
  30. 52
  31. 5
  32. 8
  33. 330
  34. 250
  35. 20
  36. 20
  37. 12
  38. 26
  39. 3
  40. 100

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