← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 885 · 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 at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 36 km upstream and come back?
  2. 2.Two trains, 230 m and 270 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?
  3. 3.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  5. 5.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?
  6. 6.Two trains, 110 m and 165 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.Two trains, 200 m and 220 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?
  8. 8.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  10. 10.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 104 km upstream and come back?
  11. 11.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 110 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.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  15. 15.Two trains, 180 m and 70 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?
  16. 16.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  18. 18.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.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?
  20. 20.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  22. 22.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  24. 24.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  27. 27.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 48 km upstream and come back?
  28. 28.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 100 m and 80 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?
  31. 31.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  33. 33.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  34. 34.Two trains, 60 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train running at 54 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  36. 36.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  37. 37.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 108 km upstream and come back?

Answer key

  1. 15
  2. 10
  3. 11
  4. 26
  5. 7
  6. 11
  7. 12
  8. 7
  9. 17
  10. 39
  11. 5
  12. 14
  13. 10
  14. 29
  15. 10
  16. 260
  17. 14
  18. 475
  19. 56
  20. 11
  21. 21
  22. 17
  23. 240
  24. 20
  25. 560
  26. 20
  27. 20
  28. 8
  29. 10
  30. 6
  31. 525
  32. 42
  33. 27
  34. 8
  35. 75
  36. 40
  37. 175
  38. 1
  39. 14
  40. 112

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