← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 755 · 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, 50 m and 190 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?
  2. 2.A boat goes 69 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  4. 4.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 13 km upstream and come back?
  5. 5.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 72 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)?
  7. 7.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  11. 11.A boat goes 60 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  13. 13.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  14. 14.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  15. 15.A train 250 m long runs at 90 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 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  19. 19.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  20. 20.Two trains, 90 m and 190 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?
  21. 21.Two trains, 110 m and 140 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?
  22. 22.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  23. 23.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  24. 24.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 120 km upstream and come back?
  25. 25.Two trains, 120 m and 320 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?
  26. 26.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 18 km upstream and come back?
  29. 29.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.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?
  31. 31.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  34. 34.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  37. 37.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  38. 38.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  40. 40.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?

Answer key

  1. 8
  2. 19
  3. 400
  4. 14
  5. 9
  6. 14
  7. 25
  8. 28
  9. 4
  10. 675
  11. 12
  12. 285
  13. 18
  14. 108
  15. 10
  16. 20
  17. 22
  18. 13
  19. 260
  20. 7
  21. 10
  22. 16
  23. 40
  24. 32
  25. 11
  26. 27
  27. 105
  28. 4
  29. 7
  30. 48
  31. 8
  32. 13
  33. 32
  34. 1
  35. 30
  36. 110
  37. 5
  38. 18
  39. 24
  40. 23

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