← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 321 · 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 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  4. 4.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.Two trains, 160 m and 200 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 boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  9. 9.Two trains, 100 m and 60 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?
  10. 10.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  11. 11.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  12. 12.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  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 96 km upstream and come back?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  15. 15.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  18. 18.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  20. 20.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.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?
  22. 22.Two trains, 210 m and 60 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 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  24. 24.Two trains, 80 m and 80 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?
  25. 25.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 54 km upstream and come back?
  26. 26.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)?
  27. 27.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  29. 29.A boat goes 55 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  32. 32.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 46 km upstream and come back?
  33. 33.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 34 km upstream and come back?
  35. 35.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?

Answer key

  1. 18
  2. 10
  3. 42
  4. 20
  5. 17
  6. 12
  7. 2
  8. 330
  9. 4
  10. 20
  11. 26
  12. 38
  13. 22
  14. 16
  15. 25
  16. 20
  17. 17
  18. 450
  19. 170
  20. 210
  21. 40
  22. 9
  23. 21
  24. 4
  25. 20
  26. 3
  27. 28
  28. 20
  29. 9
  30. 18
  31. 2
  32. 48
  33. 10
  34. 18
  35. 7
  36. 6
  37. 105
  38. 11
  39. 150
  40. 180

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