← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 233 · 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 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  2. 2.Two trains, 50 m and 190 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?
  3. 3.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.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 110 km upstream and come back?
  9. 9.A boat goes 60 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.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 16 km upstream and come back?
  12. 12.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  13. 13.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  14. 14.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 72 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  17. 17.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  19. 19.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.Two trains, 80 m and 140 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?
  21. 21.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.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 48 km upstream and come back?
  23. 23.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  24. 24.Two trains, 130 m and 270 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?
  25. 25.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  27. 27.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)?
  28. 28.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  30. 30.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  31. 31.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 100 m and 140 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?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  35. 35.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  37. 37.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  39. 39.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?

Answer key

  1. 34
  2. 8
  3. 17
  4. 20
  5. 11
  6. 2
  7. 8
  8. 66
  9. 1
  10. 50
  11. 6
  12. 5
  13. 10
  14. 13
  15. 15
  16. 19
  17. 17
  18. 9
  19. 20
  20. 11
  21. 13
  22. 26
  23. 28
  24. 10
  25. 280
  26. 28
  27. 12
  28. 18
  29. 40
  30. 31
  31. 16
  32. 16
  33. 8
  34. 28
  35. 17
  36. 390
  37. 135
  38. 13
  39. 27
  40. 10

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