← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 367 · 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 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  3. 3.A boat goes 51 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)?
  4. 4.Two trains, 240 m and 90 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?
  5. 5.Two trains, 120 m and 55 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?
  6. 6.Two trains, 230 m and 130 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?
  7. 7.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  8. 8.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  9. 9.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?
  10. 10.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  12. 12.A boat goes 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  14. 14.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.Two trains, 80 m and 130 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?
  16. 16.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  17. 17.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  20. 20.A boat goes 55 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  21. 21.A boat goes 32 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 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 24 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  26. 26.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  27. 27.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 42 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)?
  29. 29.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.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?
  32. 32.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 100 m and 50 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?
  34. 34.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 20 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 111 km upstream and come back?
  36. 36.Two trains, 150 m and 90 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?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  38. 38.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 120 m and 55 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?

Answer key

  1. 7
  2. 110
  3. 12
  4. 11
  5. 5
  6. 12
  7. 135
  8. 25
  9. 7
  10. 18
  11. 24
  12. 1
  13. 11
  14. 3
  15. 6
  16. 26
  17. 275
  18. 190
  19. 28
  20. 1
  21. 14
  22. 30
  23. 460
  24. 360
  25. 120
  26. 200
  27. 23
  28. 17
  29. 7
  30. 19
  31. 15
  32. 15
  33. 5
  34. 150
  35. 40
  36. 6
  37. 32
  38. 21
  39. 28
  40. 7

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