← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 440 · 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 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  5. 5.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  6. 6.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?
  7. 7.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 10 km upstream and come back?
  8. 8.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 70 m and 70 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?
  10. 10.A boat goes 34 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 90 m and 110 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?
  12. 12.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  13. 13.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  15. 15.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  16. 16.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  18. 18.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  22. 22.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  25. 25.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 55 km upstream and come back?
  26. 26.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  27. 27.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 45 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 100 m and 200 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?
  31. 31.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?
  32. 32.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  33. 33.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  35. 35.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 24 km upstream and come back?
  37. 37.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  39. 39.A boat goes 48 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 11
  2. 3
  3. 2
  4. 250
  5. 21
  6. 8
  7. 6
  8. 21
  9. 4
  10. 5
  11. 4
  12. 33
  13. 120
  14. 16
  15. 34
  16. 25
  17. 28
  18. 90
  19. 12
  20. 24
  21. 26
  22. 15
  23. 9
  24. 22
  25. 16
  26. 220
  27. 28
  28. 4
  29. 25
  30. 6
  31. 9
  32. 36
  33. 20
  34. 180
  35. 3
  36. 13
  37. 7
  38. 12
  39. 9
  40. 23

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