← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 793 · 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 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  2. 2.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  3. 3.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  4. 4.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  5. 5.Two trains, 70 m and 70 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, 50 m and 170 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?
  7. 7.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.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?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.Two trains, 90 m and 150 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?
  13. 13.Two trains, 80 m and 220 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?
  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 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 12 km upstream and come back?
  16. 16.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  17. 17.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  18. 18.Two trains, 190 m and 250 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?
  19. 19.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  20. 20.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  24. 24.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  27. 27.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  29. 29.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  30. 30.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  31. 31.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  32. 32.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 40 km upstream and come back?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 13 km upstream and come back?
  34. 34.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  37. 37.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  38. 38.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  40. 40.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 64 km upstream and come back?

Answer key

  1. 27
  2. 19
  3. 31
  4. 225
  5. 4
  6. 11
  7. 22
  8. 6
  9. 6
  10. 7
  11. 140
  12. 6
  13. 10
  14. 16
  15. 7
  16. 17
  17. 8
  18. 11
  19. 15
  20. 12
  21. 5
  22. 110
  23. 150
  24. 21
  25. 7
  26. 500
  27. 14
  28. 14
  29. 135
  30. 450
  31. 15
  32. 24
  33. 14
  34. 1
  35. 7
  36. 39
  37. 11
  38. 300
  39. 42
  40. 24

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