← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 982 · 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 boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  3. 3.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  5. 5.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  6. 6.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  9. 9.Two trains, 100 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?
  10. 10.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  11. 11.A boat goes 24 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  13. 13.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  14. 14.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  16. 16.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  17. 17.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  18. 18.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 102 km upstream and come back?
  22. 22.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  23. 23.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  24. 24.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  26. 26.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  28. 28.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)?
  29. 29.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  31. 31.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 280 m long?
  32. 32.Two trains, 60 m and 80 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  34. 34.Two trains, 160 m and 170 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?
  35. 35.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  36. 36.Two trains, 110 m and 130 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?
  37. 37.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  38. 38.Two trains, 140 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?

Answer key

  1. 6
  2. 600
  3. 225
  4. 520
  5. 30
  6. 15
  7. 36
  8. 13
  9. 12
  10. 7
  11. 10
  12. 38
  13. 420
  14. 23
  15. 220
  16. 110
  17. 30
  18. 475
  19. 4
  20. 32
  21. 108
  22. 42
  23. 28
  24. 28
  25. 28
  26. 30
  27. 16
  28. 1
  29. 80
  30. 24
  31. 21
  32. 4
  33. 29
  34. 11
  35. 48
  36. 8
  37. 22
  38. 6
  39. 12
  40. 225

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