← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 43 · 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.Two trains, 60 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?
  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 running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  4. 4.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 140 m and 70 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?
  6. 6.Two trains, 200 m and 160 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  7. 7.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  8. 8.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  9. 9.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  10. 10.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train 80 m long runs at 36 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 10 seconds. How long is the train (in metres)?
  13. 13.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  16. 16.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 26 km upstream and come back?
  18. 18.Two trains, 80 m and 280 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?
  19. 19.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  21. 21.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  22. 22.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 140 m and 70 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?
  24. 24.Two trains, 70 m and 315 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?
  25. 25.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 60 km upstream and come back?
  28. 28.A train running at 72 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  29. 29.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?
  30. 30.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.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?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  34. 34.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 80 km upstream and come back?
  35. 35.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  36. 36.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  39. 39.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 8
  2. 25
  3. 150
  4. 24
  5. 7
  6. 8
  7. 32
  8. 24
  9. 330
  10. 27
  11. 8
  12. 200
  13. 7
  14. 5
  15. 24
  16. 25
  17. 28
  18. 9
  19. 4
  20. 6
  21. 28
  22. 6
  23. 7
  24. 11
  25. 11
  26. 25
  27. 36
  28. 140
  29. 11
  30. 15
  31. 21
  32. 40
  33. 18
  34. 24
  35. 29
  36. 5
  37. 20
  38. 19
  39. 1
  40. 17

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