← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 378 · 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 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  2. 2.Two trains, 50 m and 390 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?
  3. 3.Two trains, 130 m and 410 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?
  4. 4.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  6. 6.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  7. 7.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  11. 11.Two trains, 120 m and 60 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?
  12. 12.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  13. 13.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  15. 15.Two trains, 160 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  20. 20.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 100 m and 145 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  27. 27.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  28. 28.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  29. 29.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 90 km upstream and come back?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  35. 35.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  36. 36.A boat goes 44 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 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  38. 38.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  39. 39.Two trains, 70 m and 170 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?
  40. 40.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)?

Answer key

  1. 17
  2. 11
  3. 12
  4. 1
  5. 200
  6. 270
  7. 19
  8. 130
  9. 400
  10. 8
  11. 9
  12. 19
  13. 30
  14. 42
  15. 12
  16. 18
  17. 4
  18. 22
  19. 325
  20. 12
  21. 10
  22. 8
  23. 7
  24. 30
  25. 17
  26. 165
  27. 27
  28. 15
  29. 16
  30. 4
  31. 24
  32. 10
  33. 160
  34. 12
  35. 17
  36. 8
  37. 23
  38. 28
  39. 8
  40. 2

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