← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 986 · 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 boat goes 76 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)?
  2. 2.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  4. 4.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  5. 5.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  6. 6.Two trains, 50 m and 150 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?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  8. 8.Two trains, 160 m and 120 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?
  9. 9.Two trains, 210 m and 190 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?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  12. 12.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?
  13. 13.Two trains, 170 m and 190 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  14. 14.Two trains, 150 m and 390 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?
  15. 15.A train running at 36 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  16. 16.A boat goes 40 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)?
  17. 17.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes 54 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.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 99 km upstream and come back?
  20. 20.Two trains, 100 m and 140 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?
  21. 21.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  22. 22.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  23. 23.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  24. 24.Two trains, 210 m and 140 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?
  25. 25.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  27. 27.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?
  28. 28.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  30. 30.A boat goes 40 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.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 72 km upstream and come back?
  32. 32.A boat goes 51 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)?
  33. 33.Two trains, 90 m and 130 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?
  34. 34.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  35. 35.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  38. 38.A boat goes 64 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)?
  39. 39.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  40. 40.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 15
  2. 21
  3. 22
  4. 750
  5. 300
  6. 5
  7. 15
  8. 7
  9. 10
  10. 18
  11. 200
  12. 18
  13. 12
  14. 12
  15. 270
  16. 19
  17. 7
  18. 3
  19. 102
  20. 8
  21. 580
  22. 16
  23. 600
  24. 10
  25. 26
  26. 20
  27. 19
  28. 26
  29. 31
  30. 16
  31. 30
  32. 13
  33. 11
  34. 26
  35. 8
  36. 11
  37. 34
  38. 11
  39. 180
  40. 8

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