← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 31 · 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 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  2. 2.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?
  3. 3.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  4. 4.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  6. 6.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.Two trains, 230 m and 85 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?
  9. 9.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  10. 10.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 70 m and 170 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?
  12. 12.A boat goes 44 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  14. 14.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  16. 16.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 250 m and 65 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?
  20. 20.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  21. 21.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  23. 23.Two trains, 100 m and 300 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?
  24. 24.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 117 km upstream and come back?
  25. 25.Two trains, 120 m and 300 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  28. 28.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 150 m and 165 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?
  33. 33.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 24 km upstream and come back?
  34. 34.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 8 km upstream and come back?
  35. 35.Two trains, 100 m and 230 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?
  36. 36.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  38. 38.Two trains, 170 m and 330 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?
  39. 39.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?

Answer key

  1. 30
  2. 11
  3. 260
  4. 20
  5. 165
  6. 17
  7. 135
  8. 9
  9. 18
  10. 13
  11. 6
  12. 20
  13. 18
  14. 23
  15. 33
  16. 1
  17. 6
  18. 15
  19. 7
  20. 27
  21. 10
  22. 170
  23. 8
  24. 130
  25. 12
  26. 18
  27. 380
  28. 270
  29. 2
  30. 675
  31. 5
  32. 9
  33. 10
  34. 3
  35. 11
  36. 21
  37. 80
  38. 10
  39. 6
  40. 360

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