← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 998 · 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 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  3. 3.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  5. 5.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  6. 6.Two trains, 60 m and 140 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 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  10. 10.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.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 98 km upstream and come back?
  12. 12.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  13. 13.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 66 km upstream and come back?
  20. 20.Two trains, 210 m and 90 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?
  21. 21.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  24. 24.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  28. 28.Two trains, 230 m and 50 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?
  29. 29.Two trains, 160 m and 280 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?
  30. 30.Two trains, 90 m and 390 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?
  31. 31.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  32. 32.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 96 km upstream and come back?
  33. 33.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.Two trains, 120 m and 80 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?
  35. 35.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  37. 37.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  38. 38.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?

Answer key

  1. 13
  2. 250
  3. 9
  4. 38
  5. 37
  6. 10
  7. 20
  8. 130
  9. 60
  10. 17
  11. 56
  12. 29
  13. 14
  14. 6
  15. 5
  16. 165
  17. 16
  18. 20
  19. 72
  20. 12
  21. 3
  22. 9
  23. 17
  24. 24
  25. 5
  26. 315
  27. 20
  28. 7
  29. 11
  30. 12
  31. 11
  32. 56
  33. 21
  34. 5
  35. 2
  36. 90
  37. 28
  38. 15
  39. 2
  40. 700

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