← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 705 · 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 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  2. 2.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  3. 3.Two trains, 80 m and 80 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?
  4. 4.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  5. 5.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  6. 6.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?
  7. 7.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  8. 8.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  10. 10.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  12. 12.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?
  13. 13.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  14. 14.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 96 km upstream and come back?
  16. 16.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  18. 18.A boat goes 35 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)?
  19. 19.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  20. 20.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 36 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)?
  22. 22.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 63 km upstream and come back?
  23. 23.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  24. 24.A boat goes 70 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)?
  25. 25.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  29. 29.Two trains, 210 m and 270 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.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  31. 31.Two trains, 200 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  32. 32.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 96 km upstream and come back?
  34. 34.A boat goes 42 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  36. 36.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  38. 38.Two trains, 210 m and 105 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  40. 40.Two trains, 80 m and 280 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?

Answer key

  1. 28
  2. 44
  3. 8
  4. 260
  5. 34
  6. 11
  7. 250
  8. 15
  9. 28
  10. 18
  11. 460
  12. 20
  13. 36
  14. 12
  15. 54
  16. 1
  17. 22
  18. 6
  19. 15
  20. 1
  21. 8
  22. 70
  23. 22
  24. 10
  25. 18
  26. 13
  27. 60
  28. 160
  29. 12
  30. 50
  31. 6
  32. 22
  33. 27
  34. 2
  35. 18
  36. 16
  37. 200
  38. 9
  39. 27
  40. 12

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