← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 13 · 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 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  2. 2.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  3. 3.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  5. 5.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.Two trains, 50 m and 70 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 running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 120 m and 150 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?
  10. 10.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  11. 11.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  12. 12.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  13. 13.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  14. 14.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 76 km upstream and come back?
  15. 15.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.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?
  18. 18.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  19. 19.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.Two trains, 60 m and 270 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?
  22. 22.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 50 km upstream and come back?
  23. 23.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  26. 26.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  27. 27.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  28. 28.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 9 km upstream and come back?
  29. 29.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  30. 30.Two trains, 120 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?
  31. 31.A boat goes 42 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 90 m and 120 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  36. 36.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  37. 37.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  38. 38.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  40. 40.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 28
  2. 420
  3. 4
  4. 32
  5. 9
  6. 6
  7. 260
  8. 13
  9. 9
  10. 170
  11. 180
  12. 250
  13. 28
  14. 40
  15. 4
  16. 10
  17. 30
  18. 18
  19. 6
  20. 210
  21. 11
  22. 52
  23. 31
  24. 13
  25. 25
  26. 50
  27. 27
  28. 10
  29. 41
  30. 10
  31. 3
  32. 7
  33. 20
  34. 12
  35. 38
  36. 25
  37. 28
  38. 26
  39. 180
  40. 4

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