← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 245 · 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 train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  2. 2.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  3. 3.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 63 km upstream and come back?
  4. 4.Two trains, 90 m and 50 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?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 150 m and 150 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?
  13. 13.Two trains, 50 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?
  14. 14.Two trains, 200 m and 250 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?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  16. 16.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 80 m and 360 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 50 km upstream and come back?
  23. 23.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  26. 26.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  29. 29.Two trains, 150 m and 210 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?
  30. 30.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 28 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)?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  33. 33.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)?
  34. 34.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  36. 36.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  37. 37.Two trains, 120 m and 125 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?
  38. 38.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  40. 40.Two trains, 90 m and 60 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?

Answer key

  1. 525
  2. 28
  3. 70
  4. 4
  5. 8
  6. 17
  7. 2
  8. 1
  9. 450
  10. 16
  11. 8
  12. 12
  13. 5
  14. 9
  15. 11
  16. 1
  17. 26
  18. 15
  19. 12
  20. 4
  21. 11
  22. 12
  23. 90
  24. 21
  25. 150
  26. 20
  27. 105
  28. 16
  29. 12
  30. 16
  31. 11
  32. 29
  33. 3
  34. 150
  35. 16
  36. 375
  37. 7
  38. 20
  39. 13
  40. 5

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