← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 542 · 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 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  2. 2.Two trains, 100 m and 440 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?
  3. 3.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  4. 4.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  5. 5.A train 390 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  10. 10.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  13. 13.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.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)?
  15. 15.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  16. 16.Two trains, 110 m and 190 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?
  17. 17.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  19. 19.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  20. 20.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  21. 21.A boat goes 36 km downstream in 4 hours and 12 km upstream in 4 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 400 m long?
  23. 23.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 110 m and 90 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?
  25. 25.Two trains, 70 m and 170 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?
  26. 26.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  27. 27.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 88 km upstream and come back?
  28. 28.A boat goes 48 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  31. 31.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  32. 32.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  33. 33.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 100 m and 380 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?
  36. 36.Two trains, 190 m and 305 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?
  37. 37.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 210 m and 60 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.Two trains, 90 m and 110 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  40. 40.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?

Answer key

  1. 18
  2. 12
  3. 23
  4. 4
  5. 26
  6. 3
  7. 550
  8. 5
  9. 500
  10. 125
  11. 19
  12. 36
  13. 22
  14. 1
  15. 230
  16. 12
  17. 210
  18. 17
  19. 31
  20. 22
  21. 6
  22. 34
  23. 13
  24. 8
  25. 8
  26. 29
  27. 48
  28. 4
  29. 18
  30. 255
  31. 23
  32. 38
  33. 27
  34. 22
  35. 12
  36. 11
  37. 10
  38. 6
  39. 4
  40. 14

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