← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 85 · 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 train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  2. 2.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  4. 4.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  8. 8.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  10. 10.Two trains, 110 m and 370 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?
  11. 11.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  13. 13.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  14. 14.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  16. 16.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.Two trains, 140 m and 100 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?
  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 32 km upstream and come back?
  19. 19.A boat goes 80 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  20. 20.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  22. 22.Two trains, 110 m and 190 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?
  23. 23.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 30 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  27. 27.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 96 km upstream and come back?
  29. 29.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  34. 34.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  35. 35.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  39. 39.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 30
  2. 25
  3. 11
  4. 28
  5. 25
  6. 90
  7. 120
  8. 13
  9. 425
  10. 12
  11. 25
  12. 30
  13. 625
  14. 475
  15. 20
  16. 19
  17. 12
  18. 6
  19. 1
  20. 260
  21. 70
  22. 10
  23. 195
  24. 12
  25. 460
  26. 40
  27. 3
  28. 52
  29. 22
  30. 1
  31. 13
  32. 11
  33. 175
  34. 38
  35. 21
  36. 17
  37. 26
  38. 150
  39. 21
  40. 27

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