← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 320 · 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 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  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 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?
  6. 6.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 160 m and 60 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?
  8. 8.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  9. 9.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  10. 10.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?
  11. 11.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  12. 12.A boat goes 84 km downstream in 4 hours and 76 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  14. 14.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  15. 15.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  16. 16.Two trains, 70 m and 245 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?
  17. 17.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.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?
  21. 21.A boat goes 48 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)?
  22. 22.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  23. 23.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  24. 24.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  25. 25.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  26. 26.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  28. 28.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  29. 29.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  30. 30.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  31. 31.Two trains, 200 m and 75 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?
  32. 32.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  35. 35.Two trains, 160 m and 160 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?
  36. 36.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  37. 37.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  38. 38.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  39. 39.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 6
  2. 13
  3. 20
  4. 260
  5. 54
  6. 1
  7. 11
  8. 175
  9. 24
  10. 50
  11. 18
  12. 1
  13. 15
  14. 38
  15. 125
  16. 9
  17. 22
  18. 16
  19. 14
  20. 18
  21. 13
  22. 21
  23. 460
  24. 285
  25. 17
  26. 2
  27. 36
  28. 30
  29. 20
  30. 26
  31. 11
  32. 19
  33. 16
  34. 24
  35. 8
  36. 17
  37. 31
  38. 550
  39. 3
  40. 17

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