← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 641 · 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 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  2. 2.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  3. 3.A boat goes 16 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)?
  4. 4.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 160 m and 85 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, 150 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?
  7. 7.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  8. 8.Two trains, 100 m and 120 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?
  9. 9.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.A boat goes at 16 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 78 km upstream and come back?
  13. 13.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  14. 14.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  15. 15.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 14 km upstream and come back?
  18. 18.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  20. 20.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  21. 21.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 76 km upstream and come back?
  22. 22.Two trains, 50 m and 230 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?
  23. 23.Two trains, 90 m and 295 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?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 96 km upstream and come back?
  26. 26.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  27. 27.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  28. 28.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  29. 29.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 120 km upstream and come back?
  30. 30.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.Two trains, 130 m and 50 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 train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  34. 34.Two trains, 90 m and 270 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?
  35. 35.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  37. 37.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  38. 38.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  40. 40.A train running at 90 km/h passes a pole in 26 seconds. How long is the train (in metres)?

Answer key

  1. 12
  2. 285
  3. 6
  4. 3
  5. 7
  6. 12
  7. 28
  8. 11
  9. 13
  10. 10
  11. 37
  12. 16
  13. 19
  14. 24
  15. 5
  16. 20
  17. 8
  18. 9
  19. 560
  20. 240
  21. 40
  22. 8
  23. 11
  24. 17
  25. 40
  26. 13
  27. 27
  28. 1
  29. 25
  30. 20
  31. 19
  32. 9
  33. 21
  34. 12
  35. 27
  36. 26
  37. 300
  38. 200
  39. 195
  40. 650

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