← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 983 · 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 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  2. 2.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  6. 6.Two trains, 170 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  7. 7.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  8. 8.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  9. 9.Two trains, 50 m and 390 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?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  12. 12.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  14. 14.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  16. 16.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  18. 18.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 105 km upstream and come back?
  19. 19.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  21. 21.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 54 km upstream and come back?
  29. 29.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  32. 32.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 25 km upstream and come back?
  33. 33.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  36. 36.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  38. 38.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 63 km downstream in 3 hours and 57 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 26
  2. 27
  3. 225
  4. 7
  5. 32
  6. 10
  7. 34
  8. 725
  9. 11
  10. 36
  11. 26
  12. 675
  13. 32
  14. 5
  15. 29
  16. 13
  17. 14
  18. 108
  19. 5
  20. 24
  21. 24
  22. 6
  23. 19
  24. 2
  25. 7
  26. 30
  27. 23
  28. 8
  29. 28
  30. 12
  31. 240
  32. 6
  33. 345
  34. 10
  35. 120
  36. 2
  37. 40
  38. 2
  39. 11
  40. 20

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