← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 160 · 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 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  3. 3.A boat goes 40 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  5. 5.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 180 m and 170 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?
  7. 7.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  9. 9.A boat goes 28 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)?
  10. 10.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  11. 11.Two trains, 130 m and 110 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?
  12. 12.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 35 km upstream and come back?
  14. 14.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  15. 15.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.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?
  17. 17.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  19. 19.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 140 m and 140 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?
  21. 21.A boat goes 45 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  23. 23.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.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?
  25. 25.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A boat goes at 19 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 37 km upstream and come back?
  27. 27.Two trains, 160 m and 110 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.Two trains, 60 m and 65 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?
  29. 29.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  31. 31.A boat goes 56 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  33. 33.Two trains, 110 m and 90 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?
  34. 34.Two trains, 210 m and 190 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?
  35. 35.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 112 km upstream and come back?
  36. 36.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.Two trains, 140 m and 355 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?
  38. 38.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  40. 40.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 2
  2. 260
  3. 1
  4. 15
  5. 12
  6. 10
  7. 2
  8. 22
  9. 9
  10. 220
  11. 6
  12. 250
  13. 8
  14. 550
  15. 17
  16. 13
  17. 2
  18. 460
  19. 16
  20. 8
  21. 14
  22. 180
  23. 9
  24. 26
  25. 14
  26. 38
  27. 6
  28. 5
  29. 7
  30. 435
  31. 11
  32. 20
  33. 10
  34. 10
  35. 18
  36. 29
  37. 11
  38. 12
  39. 12
  40. 5

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