← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 964 · 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 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  2. 2.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.Two trains, 60 m and 240 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?
  5. 5.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  6. 6.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  9. 9.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 200 m and 75 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?
  11. 11.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  13. 13.Two trains, 90 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A boat goes 110 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  17. 17.Two trains, 160 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?
  18. 18.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  20. 20.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?
  21. 21.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  22. 22.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  23. 23.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  24. 24.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  25. 25.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?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  27. 27.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  28. 28.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.Two trains, 90 m and 120 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  30. 30.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  32. 32.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)?
  33. 33.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 240 m and 80 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?
  35. 35.Two trains, 110 m and 170 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?
  36. 36.Two trains, 140 m and 130 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?
  37. 37.A boat goes 33 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)?
  38. 38.A boat goes 60 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.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)?
  40. 40.Two trains, 100 m and 50 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?

Answer key

  1. 17
  2. 6
  3. 1
  4. 12
  5. 36
  6. 18
  7. 26
  8. 120
  9. 25
  10. 11
  11. 10
  12. 420
  13. 8
  14. 5
  15. 80
  16. 16
  17. 12
  18. 15
  19. 50
  20. 32
  21. 18
  22. 25
  23. 4
  24. 260
  25. 56
  26. 38
  27. 14
  28. 31
  29. 6
  30. 29
  31. 480
  32. 3
  33. 17
  34. 8
  35. 8
  36. 9
  37. 10
  38. 15
  39. 17
  40. 5

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