← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 424 · 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 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  2. 2.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 84 km upstream and come back?
  3. 3.Two trains, 180 m and 120 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?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  5. 5.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  6. 6.A boat goes 30 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  8. 8.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 15 km upstream and come back?
  9. 9.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  10. 10.A train 150 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 18 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?
  13. 13.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  14. 14.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  15. 15.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  16. 16.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 51 km upstream and come back?
  17. 17.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  18. 18.Two trains, 110 m and 240 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?
  19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  21. 21.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 24 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A boat goes 115 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.Two trains, 50 m and 490 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  27. 27.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  28. 28.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.Two trains, 110 m and 65 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  32. 32.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  33. 33.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  35. 35.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.Two trains, 100 m and 150 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  37. 37.Two trains, 90 m and 190 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?
  38. 38.A boat goes at 14 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 120 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  40. 40.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?

Answer key

  1. 20
  2. 35
  3. 10
  4. 13
  5. 30
  6. 5
  7. 27
  8. 16
  9. 20
  10. 15
  11. 20
  12. 9
  13. 140
  14. 18
  15. 20
  16. 54
  17. 28
  18. 10
  19. 12
  20. 240
  21. 9
  22. 220
  23. 24
  24. 19
  25. 12
  26. 250
  27. 31
  28. 17
  29. 4
  30. 5
  31. 112
  32. 150
  33. 9
  34. 130
  35. 340
  36. 5
  37. 7
  38. 21
  39. 150
  40. 38

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